Distance between Points Geometry Analytic Geometry Distance between Points Questions What is the midpoint of the line segment joining the points (7, 4) and (-8, 7)? How would you set up the midpoint formula if only the midpoint and one coordinate is given? For example, if the midpoint is (2, 5) and the first coordinate is (2, 3)? What is the Endpoint Formula? Using the midpoint formula, if you're only given #((x_1 + x_2) / 2#, #(y_1 + y_2) / 2)#, is it possible to solve for #x# and #y#? On a piece of graph paper, plot the following points: A (0, 0), B (5, 0), and C (2, 4). These coordinates will be the vertices of a triangle. Using the Midpoint Formula, what are the midpoints of the triangle's side, segments AB, BC, and CA? The Coca-Cola Company had sales of $18,546 million in 1996 and $21,900 million in 2004. How would I use the Midpoint formula to estimate the sales in 1998, 2000, and 2002? Assume that the sales follow a linear pattern. How does one derive the Midpoint Formula? How do I find the equation of the perpendicular bisector of the line segment whose endpoints are (-4, 8) and (-6, -2) using the Midpoint Formula? How do you find the center of a circle with the Midpoint Formula? The North Campground (3,5) is midway between the North Point Overlook (1,y) and the Waterfall (x,1). How do I use the Midpoint Formula to find the values of x and y and justify each step? Please show steps. What is the midpoint between the points (3, 1) and (1, 5)? M(7, -4) is the midpoint of RS. if S has coordinates (13,5), what are the coordinates of R? How do we find the midpoint between (-a, -b, -c) and (3a, 3b, 3c)? The coordinates of points L and X are 16 and 40, respectively. Point N is the midpoint of LX. What are the coordinates of LN? A line segment CD has one endpoint C (6,5) and midpoint M (4,2) How do you determine point D? If P (4,-1) is the midpoint of the segment AB, where A (2, 5), what is B? S is the midpoint of RT. R has coordinates (-6, -1), and S has coordinates (-1, 1) . What are the coordinates of T? thank you sooo much :]]? The midpoint of SM is #(5, -11)#. One endpoint is #S(3, 5)#. What are the coordinates of endpoint #M#? Circle A has a center at #(3 ,1 )# and a radius of #4 #. Circle B has a center at #(9 ,8 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(5 ,2 )# and a radius of #4 #. Circle B has a center at #(9 ,8 )# and a radius of #7 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(8 ,3 )# and a radius of #1 #. Circle B has a center at #(4 ,4 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(8 ,3 )# and a radius of #4 #. Circle B has a center at #(4 ,4 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(2 ,1 )# and a radius of #4 #. Circle B has a center at #(4 ,7 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(2 ,2 )# and a radius of #2 #. Circle B has a center at #(5 ,9 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(6 ,2 )# and a radius of #2 #. Circle B has a center at #(5 ,-4 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-1 ,2 )# and a radius of #2 #. Circle B has a center at #(5 ,-4 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-1 ,2 )# and a radius of #2 #. Circle B has a center at #(5 ,-4 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-1 ,1 )# and a radius of #2 #. Circle B has a center at #(3 ,-2 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-1 ,3 )# and a radius of #5 #. Circle B has a center at #(3 ,-2 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(2 ,3 )# and a radius of #5 #. Circle B has a center at #(3 ,8 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(2 ,2 )# and a radius of #5 #. Circle B has a center at #(12 ,8 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(2 ,4 )# and a radius of #5 #. Circle B has a center at #(9 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(1 ,4 )# and a radius of #5 #. Circle B has a center at #(9 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(1 ,4 )# and a radius of #2 #. Circle B has a center at #(9 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(1 ,-4 )# and a radius of #2 #. Circle B has a center at #(9 ,3 )# and a radius of #5 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(8 ,-4 )# and a radius of #3 #. Circle B has a center at #(4 ,3 )# and a radius of #5 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(8 ,-4 )# and a radius of #2 #. Circle B has a center at #(4 ,3 )# and a radius of #4 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(5 ,-2 )# and a radius of #2 #. Circle B has a center at #(4 ,6 )# and a radius of #4 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(5 ,-2 )# and a radius of #2 #. Circle B has a center at #(4 ,6 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(5 ,-2 )# and a radius of #2 #. Circle B has a center at #(2 ,-1 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,-3 )# and a radius of #2 #. Circle B has a center at #(2 ,-1 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,2 )# and a radius of #3 #. Circle B has a center at #(2 ,-1 )# and a radius of #3 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,2 )# and a radius of #3 #. Circle B has a center at #(1 ,-1 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,2 )# and a radius of #3 #. Circle B has a center at #(1 ,9 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,6 )# and a radius of #4 #. Circle B has a center at #(1 ,1 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,-2 )# and a radius of #4 #. Circle B has a center at #(1 ,3 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,-2 )# and a radius of #2 #. Circle B has a center at #(1 ,3 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-4 ,-1 )# and a radius of #3 #. Circle B has a center at #(1 ,3 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-2 ,-1 )# and a radius of #3 #. Circle B has a center at #(1 ,3 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-2 ,-1 )# and a radius of #3 #. Circle B has a center at #(-8 ,3 )# and a radius of #2 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-2 ,-1 )# and a radius of #3 #. Circle B has a center at #(-8 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-9 ,-1 )# and a radius of #3 #. Circle B has a center at #(-8 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(-9 ,8 )# and a radius of #3 #. Circle B has a center at #(-8 ,3 )# and a radius of #1 #. Do the circles overlap? If not what is the smallest distance between them? Circle A has a center at #(9 ,8 )# and a radius of #2 #. Circle B has a center at #(-8 ,3 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,8 )# and a radius of #2 #. Circle B has a center at #(-8 ,3 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,8 )# and a radius of #4 #. Circle B has a center at #(-3 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,-1 )# and a radius of #4 #. Circle B has a center at #(-3 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,-1 )# and a radius of #1 #. Circle B has a center at #(-3 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(4 ,-1 )# and a radius of #1 #. Circle B has a center at #(-3 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(4 ,-1 )# and a radius of #5 #. Circle B has a center at #(-3 ,2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(4 ,-1 )# and a radius of #5 #. Circle B has a center at #(-3 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(4 ,-1 )# and a radius of #3 #. Circle B has a center at #(-3 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,-1 )# and a radius of #3 #. Circle B has a center at #(-3 ,6 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,-1 )# and a radius of #2 #. Circle B has a center at #(-3 ,6 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,-7 )# and a radius of #2 #. Circle B has a center at #(-3 ,6 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-2 ,-7 )# and a radius of #2 #. Circle B has a center at #(-3 ,2 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-2 ,-4 )# and a radius of #2 #. Circle B has a center at #(-3 ,2 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-1 ,-4 )# and a radius of #3 #. Circle B has a center at #(-3 ,2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-1 ,-4 )# and a radius of #3 #. Circle B has a center at #(-1 ,1 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,5 )# and a radius of #1 #. Circle B has a center at #(-1 ,1 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,5 )# and a radius of #1 #. Circle B has a center at #(-1 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,5 )# and a radius of #1 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,1 )# and a radius of #1 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,1 )# and a radius of #6 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,2 )# and a radius of #6 #. Circle B has a center at #(-2 ,1 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,-1 )# and a radius of #6 #. Circle B has a center at #(-2 ,-4 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,-1 )# and a radius of #3 #. Circle B has a center at #(-2 ,-4 )# and a radius of #7 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(8 ,-1 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #7 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(8 ,4 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #7 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(8 ,4 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(8 ,4 )# and a radius of #3 #. Circle B has a center at #(-1 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(8 ,3 )# and a radius of #3 #. Circle B has a center at #(-1 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,3 )# and a radius of #3 #. Circle B has a center at #(-1 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,3 )# and a radius of #1 #. Circle B has a center at #(-1 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,3 )# and a radius of #1 #. Circle B has a center at #(0 ,-2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,3 )# and a radius of #1 #. Circle B has a center at #(0 ,-5 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,3 )# and a radius of #1 #. Circle B has a center at #(-2 ,-5 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-8 )# and a radius of #3 #. Circle B has a center at #(-2 ,-5 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(4 ,-8 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(4 ,-8 )# and a radius of #3 #. Circle B has a center at #(-2 ,-2 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-8 )# and a radius of #3 #. Circle B has a center at #(-3 ,-2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,7 )# and a radius of #3 #. Circle B has a center at #(-3 ,-2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,7 )# and a radius of #1 #. Circle B has a center at #(-3 ,-2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,7 )# and a radius of #1 #. Circle B has a center at #(-3 ,-2 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,7 )# and a radius of #1 #. Circle B has a center at #(-3 ,3 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,7 )# and a radius of #1 #. Circle B has a center at #(1 ,3 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,7 )# and a radius of #2 #. Circle B has a center at #(1 ,3 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,2 )# and a radius of #2 #. Circle B has a center at #(1 ,3 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,2 )# and a radius of #1 #. Circle B has a center at #(1 ,3 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(9 ,-2 )# and a radius of #1 #. Circle B has a center at #(1 ,3 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(9 ,-2 )# and a radius of #1 #. Circle B has a center at #(1 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-2 )# and a radius of #2 #. Circle B has a center at #(4 ,3 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-2 )# and a radius of #2 #. Circle B has a center at #(4 ,2 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-2 )# and a radius of #1 #. Circle B has a center at #(4 ,2 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(7 ,-5 )# and a radius of #1 #. Circle B has a center at #(4 ,2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(7 ,-2 )# and a radius of #1 #. Circle B has a center at #(4 ,2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(7 ,-2 )# and a radius of #2 #. Circle B has a center at #(4 ,2 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,-2 )# and a radius of #2 #. Circle B has a center at #(1 ,-4 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,-2 )# and a radius of #2 #. Circle B has a center at #(1 ,-4 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,2 )# and a radius of #2 #. Circle B has a center at #(1 ,-2 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,4 )# and a radius of #4 #. Circle B has a center at #(6 ,-8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,4 )# and a radius of #3 #. Circle B has a center at #(6 ,-8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,4 )# and a radius of #3 #. Circle B has a center at #(6 ,-8 )# and a radius of #1 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,-4 )# and a radius of #7 #. Circle B has a center at #(-6 ,-8 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,-4 )# and a radius of #6 #. Circle B has a center at #(-4 ,-8 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,-2 )# and a radius of #6 #. Circle B has a center at #(-4 ,-8 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-2 )# and a radius of #3 #. Circle B has a center at #(-4 ,-8 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-2 )# and a radius of #3 #. Circle B has a center at #(-4 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,-2 )# and a radius of #3 #. Circle B has a center at #(-2 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(9 ,-2 )# and a radius of #4 #. Circle B has a center at #(-2 ,6 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(9 ,4 )# and a radius of #4 #. Circle B has a center at #(-2 ,6 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(9 ,4 )# and a radius of #3 #. Circle B has a center at #(-1 ,6 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(6 ,4 )# and a radius of #3 #. Circle B has a center at #(-1 ,6 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(6 ,4 )# and a radius of #3 #. Circle B has a center at #(-3 ,3 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,2 )# and a radius of #8 #. Circle B has a center at #(-3 ,3 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-8 ,8 )# and a radius of #8 #. Circle B has a center at #(-3 ,3 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-5 ,8 )# and a radius of #4 #. Circle B has a center at #(-3 ,3 )# and a radius of #4 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-5 ,7 )# and a radius of #4 #. Circle B has a center at #(-3 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-5 ,7 )# and a radius of #4 #. Circle B has a center at #(7 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,7 )# and a radius of #3 #. Circle B has a center at #(7 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,5 )# and a radius of #3 #. Circle B has a center at #(7 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,5 )# and a radius of #2 #. Circle B has a center at #(4 ,2 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,5 )# and a radius of #2 #. Circle B has a center at #(4 ,-1 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,7 )# and a radius of #2 #. Circle B has a center at #(4 ,-1 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,7 )# and a radius of #2 #. Circle B has a center at #(4 ,-2 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(3 ,7 )# and a radius of #4 #. Circle B has a center at #(4 ,-2 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,5 )# and a radius of #3 #. Circle B has a center at #(4 ,-2 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,5 )# and a radius of #3 #. Circle B has a center at #(2 ,-3 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(1 ,1 )# and a radius of #1 #. Circle B has a center at #(2 ,-3 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(7 ,1 )# and a radius of #1 #. Circle B has a center at #(2 ,-3 )# and a radius of #2 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(7 ,2 )# and a radius of #8 #. Circle B has a center at #(3 ,-3 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,2 )# and a radius of #8 #. Circle B has a center at #(3 ,-2 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(5 ,4 )# and a radius of #9 #. Circle B has a center at #(1 ,-2 )# and a radius of #6 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,4 )# and a radius of #9 #. Circle B has a center at #(1 ,-5 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-6 ,4 )# and a radius of #9 #. Circle B has a center at #(1 ,-5 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-6 ,4 )# and a radius of #8 #. Circle B has a center at #(2 ,-5 )# and a radius of #5 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(-6 ,2 )# and a radius of #8 #. Circle B has a center at #(2 ,-5 )# and a radius of #3 #. Do the circles overlap? If not, what is the smallest distance between them? Circle A has a center at #(2 ,1 )# and an area of #15 pi#. Circle B has a center at #(8 ,12 )# and an area of #9 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(2 ,1 )# and an area of #16 pi#. Circle B has a center at #(8 ,12 )# and an area of #9 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(2 ,5 )# and an area of #16 pi#. Circle B has a center at #(8 ,1 )# and an area of #3 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(1 ,5 )# and an area of #12 pi#. Circle B has a center at #(8 ,1 )# and an area of #3 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(1 ,5 )# and an area of #12 pi#. Circle B has a center at #(7 ,2 )# and an area of #8 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(1 ,4 )# and an area of #28 pi#. Circle B has a center at #(7 ,2 )# and an area of #8 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(1 ,4 )# and an area of #28 pi#. Circle B has a center at #(7 ,9 )# and an area of #8 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(1 ,4 )# and an area of #28 pi#. Circle B has a center at #(7 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(1 ,4 )# and an area of #100 pi#. Circle B has a center at #(7 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(1 ,2 )# and an area of #100 pi#. Circle B has a center at #(7 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(11 ,2 )# and an area of #100 pi#. Circle B has a center at #(7 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(11 ,5 )# and an area of #100 pi#. Circle B has a center at #(4 ,9 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(8 ,5 )# and an area of #100 pi#. Circle B has a center at #(4 ,2 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(8 ,1 )# and an area of #100 pi#. Circle B has a center at #(4 ,2 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(8 ,1 )# and an area of #81 pi#. Circle B has a center at #(4 ,2 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(8 ,7 )# and an area of #81 pi#. Circle B has a center at #(4 ,2 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(8 ,7 )# and an area of #81 pi#. Circle B has a center at #(4 ,3 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(2 ,7 )# and an area of #81 pi#. Circle B has a center at #(4 ,3 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(2 ,4 )# and an area of #81 pi#. Circle B has a center at #(4 ,3 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(2 ,12 )# and an area of #81 pi#. Circle B has a center at #(1 ,3 )# and an area of #36 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(2 ,12 )# and an area of #81 pi#. Circle B has a center at #(1 ,3 )# and an area of #16 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,12 )# and an area of #81 pi#. Circle B has a center at #(1 ,2 )# and an area of #16 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,3 )# and an area of #4 pi#. Circle B has a center at #(1 ,2 )# and an area of #16 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,3 )# and an area of #4 pi#. Circle B has a center at #(2 ,8 )# and an area of #16 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,1 )# and an area of #4 pi#. Circle B has a center at #(2 ,8 )# and an area of #16 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,1 )# and an area of #4 pi#. Circle B has a center at #(2 ,8 )# and an area of #9 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,4 )# and an area of #4 pi#. Circle B has a center at #(2 ,8 )# and an area of #9 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,4 )# and an area of #16 pi#. Circle B has a center at #(12 ,8 )# and an area of #9 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,4 )# and an area of #16 pi#. Circle B has a center at #(12 ,8 )# and an area of #25 pi#. Do the circles overlap? If not, what is the shortest distance between them? Circle A has a center at #(5 ,4 )# and an area of #54 pi#. Circle B has a center at #(12 ,8 )# and an area of #25 pi#. Do the circles overlap? Circle A has a center at #(5 ,3 )# and an area of #54 pi#. Circle B has a center at #(7 ,8 )# and an area of #15 pi#. Do the circles overlap? Circle A has a center at #(5 ,1 )# and an area of #23 pi#. Circle B has a center at #(2 ,8 )# and an area of #15 pi#. Do the circles overlap? Circle A has a center at #(5 ,1 )# and an area of #16 pi#. Circle B has a center at #(2 ,8 )# and an area of #67 pi#. Do the circles overlap? Circle A has a center at #(2 ,1 )# and an area of #16 pi#. Circle B has a center at #(2 ,8 )# and an area of #67 pi#. Do the circles overlap? Circle A has a center at #(2 ,9 )# and an area of #16 pi#. Circle B has a center at #(3 ,8 )# and an area of #67 pi#. Do the circles overlap? Circle A has a center at #(12 ,9 )# and an area of #16 pi#. Circle B has a center at #(3 ,1 )# and an area of #67 pi#. Do the circles overlap? Circle A has a center at #(12 ,9 )# and an area of #25 pi#. Circle B has a center at #(3 ,1 )# and an area of #67 pi#. Do the circles overlap? Circle A has a center at #(12 ,9 )# and an area of #25 pi#. Circle B has a center at #(3 ,1 )# and an area of #64 pi#. Do the circles overlap? Circle A has a center at #(12 ,9 )# and an area of #13 pi#. Circle B has a center at #(3 ,1 )# and an area of #28 pi#. Do the circles overlap? Circle A has a center at #(12 ,2 )# and an area of #13 pi#. Circle B has a center at #(3 ,6 )# and an area of #28 pi#. Do the circles overlap? Circle A has a center at #(3 ,2 )# and an area of #13 pi#. Circle B has a center at #(9 ,6 )# and an area of #28 pi#. Do the circles overlap? Circle A has a center at #(3 ,7 )# and an area of #56 pi#. Circle B has a center at #(9 ,6 )# and an area of #28 pi#. Do the circles overlap? Circle A has a center at #(5 ,7 )# and an area of #56 pi#. Circle B has a center at #(9 ,2 )# and an area of #44 pi#. Do the circles overlap? Circle A has a center at #(5 ,9 )# and an area of #65 pi#. Circle B has a center at #(7 ,2 )# and an area of #43 pi#. Do the circles overlap? Circle A has a center at #(5 ,9 )# and an area of #96 pi#. Circle B has a center at #(7 ,2 )# and an area of #45 pi#. Do the circles overlap? Circle A has a center at #(3 ,2 )# and an area of #96 pi#. Circle B has a center at #(12 ,7 )# and an area of #48 pi#. Do the circles overlap? Circle A has a center at #(6 ,5 )# and an area of #6 pi#. Circle B has a center at #(12 ,7 )# and an area of #48 pi#. Do the circles overlap? Circle A has a center at #(6 ,5 )# and an area of #6 pi#. Circle B has a center at #(12 ,7 )# and an area of #36 pi#. Do the circles overlap? Circle A has a center at #(2 ,3 )# and an area of #72 pi#. Circle B has a center at #(14 ,5 )# and an area of #48 pi#. Do the circles overlap? Circle A has a center at #(8 ,1 )# and an area of #72 pi#. Circle B has a center at #(14 ,8 )# and an area of #48 pi#. Do the circles overlap? Circle A has a center at #(8 ,1 )# and an area of #64 pi#. Circle B has a center at #(14 ,8 )# and an area of #48 pi#. Do the circles overlap? Circle A has a center at #(3 ,4 )# and an area of #64 pi#. Circle B has a center at #(1 ,12 )# and an area of #54 pi#. Do the circles overlap? Circle A has a center at #(3 ,5 )# and an area of #78 pi#. Circle B has a center at #(1 ,2 )# and an area of #54 pi#. Do the circles overlap? Circle A has a center at #(7 ,5 )# and an area of #78 pi#. Circle B has a center at #(9 ,2 )# and an area of #54 pi#. Do the circles overlap? Circle A has a center at #(7 ,5 )# and an area of #92 pi#. Circle B has a center at #(9 ,2 )# and an area of #14 pi#. Do the circles overlap? Circle A has a center at #(3 ,2 )# and an area of #32 pi#. Circle B has a center at #(9 ,2 )# and an area of #24 pi#. Do the circles overlap? Circle A has a center at #(3 ,1 )# and an area of #12 pi#. Circle B has a center at #(5 ,2 )# and an area of #24 pi#. Do the circles overlap? Circle A has a center at #(3 ,1 )# and an area of #15 pi#. Circle B has a center at #(5 ,2 )# and an area of #24 pi#. Do the circles overlap? Circle A has a center at #(1 ,8 )# and an area of #15 pi#. Circle B has a center at #(5 ,3 )# and an area of #24 pi#. Do the circles overlap? Circle A has a center at #(1 ,8 )# and an area of #15 pi#. Circle B has a center at #(5 ,3 )# and an area of #25 pi#. Do the circles overlap? Circle A has a center at #(1 ,8 )# and an area of #32 pi#. Circle B has a center at #(2 ,3 )# and an area of #28 pi#. Do the circles overlap? Circle A has a center at #(1 ,3 )# and an area of #32 pi#. Circle B has a center at #(2 ,7 )# and an area of #28 pi#. Do the circles overlap? Circle A has a center at #(1 ,3 )# and an area of #16 pi#. Circle B has a center at #(2 ,7 )# and an area of #28 pi#. Do the circles overlap? Circle A has a center at #(1 ,3 )# and an area of #16 pi#. Circle B has a center at #(2 ,7 )# and an area of #75 pi#. Do the circles overlap? Circle A has a center at #(1 ,3 )# and an area of #45 pi#. Circle B has a center at #(2 ,7 )# and an area of #75 pi#. Do the circles overlap? Circle A has a center at #(6 ,2 )# and an area of #45 pi#. Circle B has a center at #(2 ,3 )# and an area of #75 pi#. Do the circles overlap? Circle A has a center at #(5 ,2 )# and an area of #15 pi#. Circle B has a center at #(2 ,3 )# and an area of #75 pi#. Do the circles overlap? Circle A has a center at #(5 ,4 )# and an area of #15 pi#. Circle B has a center at #(2 ,1 )# and an area of #75 pi#. Do the circles overlap? Circle A has a center at #(5 ,4 )# and an area of #15 pi#. Circle B has a center at #(2 ,1 )# and an area of #90 pi#. Do the circles overlap? Circle A has a center at #(5 ,2 )# and an area of #15 pi#. Circle B has a center at #(2 ,1 )# and an area of #90 pi#. Do the circles overlap? Circle A has a center at #(5 ,2 )# and an area of #15 pi#. Circle B has a center at #(4 ,7 )# and an area of #80 pi#. Do the circles overlap? Circle A has a center at #(3 ,2 )# and an area of #16 pi#. Circle B has a center at #(4 ,7 )# and an area of #80 pi#. Do the circles overlap? Circle A has a center at #(3 ,4 )# and an area of #16 pi#. Circle B has a center at #(8 ,1 )# and an area of #40 pi#. Do the circles overlap? Circle A has a center at #(3 ,4 )# and an area of #18 pi#. Circle B has a center at #(8 ,1 )# and an area of #40 pi#. Do the circles overlap? Circle A has a center at #(1 ,8 )# and an area of #18 pi#. Circle B has a center at #(8 ,1 )# and an area of #45 pi#. Do the circles overlap? Circle A has a center at #(1 ,5 )# and an area of #18 pi#. Circle B has a center at #(8 ,4 )# and an area of #66 pi#. Do the circles overlap? Circle A has a center at #(1 ,5 )# and an area of #24 pi#. Circle B has a center at #(8 ,4 )# and an area of #66 pi#. Do the circles overlap? Circle A has a center at #(1 ,3 )# and an area of #24 pi#. Circle B has a center at #(8 ,2 )# and an area of #66 pi#. Do the circles overlap? Circle A has a center at #(2 ,3 )# and an area of #12 pi#. Circle B has a center at #(8 ,2 )# and an area of #66 pi#. Do the circles overlap? Circle A has a center at #(2 ,3 )# and an area of #12 pi#. Circle B has a center at #(7 ,2 )# and an area of #64 pi#. Do the circles overlap? Circle A has a center at #(2 ,3 )# and an area of #18 pi#. Circle B has a center at #(7 ,2 )# and an area of #64 pi#. Do the circles overlap? Circle A has a center at #(2 ,3 )# and an area of #8 pi#. Circle B has a center at #(7 ,2 )# and an area of #64 pi#. Do the circles overlap? Circle A has a center at #(2 ,8 )# and an area of #8 pi#. Circle B has a center at #(3 ,2 )# and an area of #27 pi#. Do the circles overlap? Circle A has a center at #(5 ,8 )# and an area of #18 pi#. Circle B has a center at #(3 ,1 )# and an area of #27 pi#. Do the circles overlap? Circle A has a center at #(5 ,2 )# and an area of #18 pi#. Circle B has a center at #(3 ,6 )# and an area of #27 pi#. Do the circles overlap? Circle A has a center at #(2 ,2 )# and an area of #18 pi#. Circle B has a center at #(13 ,6 )# and an area of #27 pi#. Do the circles overlap? Circle A has a center at #(2 ,2 )# and an area of #8 pi#. Circle B has a center at #(13 ,6 )# and an area of #49 pi#. Do the circles overlap? Circle A has a center at #(2 ,2 )# and an area of #8 pi#. Circle B has a center at #(13 ,6 )# and an area of #54 pi#. Do the circles overlap? Circle A has a center at #(2 ,3 )# and an area of #8 pi#. Circle B has a center at #(13 ,7 )# and an area of #54 pi#. Do the circles overlap? Circle A has a center at #(2 ,3 )# and an area of #8 pi#. Circle B has a center at #(11 ,7 )# and an area of #54 pi#. Do the circles overlap? Circle A has a center at #(1 ,3 )# and an area of #18 pi#. Circle B has a center at #(11 ,7 )# and an area of #54 pi#. Do the circles overlap? What is the perimeter of a triangle with corners at #(7 ,9 )#, #(8, 2 )#, and #(9 ,2 )#? What is the perimeter of a triangle with corners at #(7 ,9 )#, #(8, 2 )#, and #(9 ,4 )#? What is the perimeter of a triangle with corners at #(1 ,9 )#, #(8, 2 )#, and #(9 ,4 )#? What is the perimeter of a triangle with corners at #(1 ,9 )#, #(5 , 2 )#, and #(9 ,4 )#? What is the perimeter of a triangle with corners at #(1 ,4 )#, #(5 , 2 )#, and #(9 ,7 )#? What is the perimeter of a triangle with corners at #(1 ,4 )#, #(3 , 2 )#, and #(9 ,7 )#? What is the perimeter of a triangle with corners at #(1 ,4 )#, #(3 , 2 )#, and #(2 ,7 )#? What is the perimeter of a triangle with corners at #(1 ,5 )#, #(6 , 2 )#, and #(2 ,7 )#? What is the perimeter of a triangle with corners at #(1 ,5 )#, #(6 , 2 )#, and #(5 ,7 )#? What is the perimeter of a triangle with corners at #(9 ,5 )#, #(6 , 2 )#, and #(5 ,7 )#? What is the perimeter of a triangle with corners at #(9 ,5 )#, #(6 ,3 )#, and #(4 ,7 )#? What is the perimeter of a triangle with corners at #(9 ,2 )#, #(6 ,3 )#, and #(4 ,7 )#? What is the perimeter of a triangle with corners at #(9 ,2 )#, #(6 ,3 )#, and #(4 ,1 )#? What is the perimeter of a triangle with corners at #(9 ,2 )#, #(2 ,3 )#, and #(4 ,1 )#? What is the perimeter of a triangle with corners at #(1 ,2 )#, #(2 ,3 )#, and #(4 ,1 )#? What is the perimeter of a triangle with corners at #(1 ,2 )#, #(8 ,3 )#, and #(4 ,1 )#? What is the perimeter of a triangle with corners at #(1 ,2 )#, #(8 ,3 )#, and #(4 ,4 )#? What is the perimeter of a triangle with corners at #(7 ,2 )#, #(8 ,3 )#, and #(4 ,4 )#? What is the perimeter of a triangle with corners at #(7 ,2 )#, #(8 ,3 )#, and #(4 ,5 )#? What is the perimeter of a triangle with corners at #(7 ,8 )#, #(8 ,3 )#, and #(4 ,5 )#? What is the perimeter of a triangle with corners at #(1 ,8 )#, #(8 ,3 )#, and #(4 ,5 )#? What is the perimeter of a triangle with corners at #(1 ,5 )#, #(8 ,3 )#, and #(4 ,1 )#? What is the perimeter of a triangle with corners at #(1 ,5 )#, #(6 ,3 )#, and #(4 ,1 )#? What is the perimeter of a triangle with corners at #(1 ,5 )#, #(6 ,3 )#, and #(4 ,2 )#? What is the perimeter of a triangle with corners at #(1 ,4 )#, #(6 ,3 )#, and #(4 ,2 )#? What is the perimeter of a triangle with corners at #(1 ,4 )#, #(6 ,7 )#, and #(4 ,2 )#? What is the perimeter of a triangle with corners at #(1 ,4 )#, #(6 ,7 )#, and #(4 ,5 )#? What is the perimeter of a triangle with corners at #(3 ,4 )#, #(6 ,7 )#, and #(4 ,5 )#? What is the perimeter of a triangle with corners at #(3 ,4 )#, #(2 ,7 )#, and #(4 ,5 )#? What is the perimeter of a triangle with corners at #(3 ,4 )#, #(2 ,0 )#, and #(4 ,5 )#? What is the perimeter of a triangle with corners at #(3 ,4 )#, #(2 ,0 )#, and #(4 ,9 )#? What is the perimeter of a triangle with corners at #(3 ,6)#, #(2 ,3 )#, and #(4 ,9 )#? What is the perimeter of a triangle with corners at #(3 ,7 )#, #(2 ,3 )#, and #(4 ,9 )#? What is the perimeter of a triangle with corners at #(3 ,7 )#, #(1 ,3 )#, and #(4 ,9 )#? What is the perimeter of a triangle with corners at #(3 ,7 )#, #(1 ,1 )#, and #(4 ,3 )#? What is the perimeter of a triangle with corners at #(3 ,8)#, #(1 ,1 )#, and #(4 ,3 )#? What is the perimeter of a triangle with corners at #(3 ,8)#, #(1 ,5 )#, and #(4 ,3 )#? What is the perimeter of a triangle with corners at #(3 ,5 )#, #(1 ,6 )#, and #(4 ,3 )#? What is the perimeter of a triangle with corners at #(7 ,5 )#, #(1 ,6 )#, and #(4 ,3 )#? What is the perimeter of a triangle with corners at #(7 ,5 )#, #(1 ,6 )#, and #(4 ,8 )#? What is the perimeter of a triangle with corners at #(7 ,5 )#, #(1 ,2 )#, and #(4 ,8 )#? What is the perimeter of a triangle with corners at #(7 ,5 )#, #(1 ,2 )#, and #(4 ,7 )#? What is the perimeter of a triangle with corners at #(7 ,5 )#, #(8 ,2 )#, and #(4 ,7 )#? What is the perimeter of a triangle with corners at #(6 ,5 )#, #(8 ,2 )#, and #(4 ,7 )#? What is the perimeter of a triangle with corners at #(6 ,4 )#, #(8 ,2 )#, and #(4 ,7 )#? What is the perimeter of a triangle with corners at #(6 ,4 )#, #(8 ,2 )#, and #(5 ,7 )#? What is the perimeter of a triangle with corners at #(6 ,4 )#, #(9 ,2 )#, and #(5 ,7 )#? What is the perimeter of a triangle with corners at #(6 ,4 )#, #(9 ,2 )#, and #(5 ,1 )#? What is the perimeter of a triangle with corners at #(6 ,0 )#, #(9 ,2 )#, and #(5 ,4 )#? What is the perimeter of a triangle with corners at #(6 ,0 )#, #(5 ,2 )#, and #(5 ,4 )#? What is the perimeter of a triangle with corners at #(3 ,0 )#, #(5 ,2 )#, and #(5 ,4 )#? What is the perimeter of a triangle with corners at #(3 ,0 )#, #(5 ,2 )#, and #(1 ,4 )#? What is the perimeter of a triangle with corners at #(3 ,9 )#, #(5 ,2 )#, and #(1 ,4 )#? What is the perimeter of a triangle with corners at #(3 ,9 )#, #(5 ,7 )#, and #(1 ,4 )#? What is the perimeter of a triangle with corners at #(3 ,9 )#, #(5 ,7 )#, and #(8 ,4 )#? What is the perimeter of a triangle with corners at #(3 ,9 )#, #(5 ,7 )#, and #(8 ,7 )#? What is the perimeter of a triangle with corners at #(3 ,4 )#, #(4 ,2 )#, and #(8 ,7 )#? What is the perimeter of a triangle with corners at #(3 ,4 )#, #(4 ,8 )#, and #(8 ,7 )#? What is the perimeter of a triangle with corners at #(3 ,6 )#, #(1 ,8 )#, and #(8 ,7 )#? What is the perimeter of a triangle with corners at #(3 ,6 )#, #(1 ,8 )#, and #(8 ,1 )#? What is the perimeter of a triangle with corners at #(3 ,6 )#, #(1 ,5 )#, and #(8 ,1 )#? What is the perimeter of a triangle with corners at #(3 ,6 )#, #(1 ,5 )#, and #(2 ,1 )#? What is the perimeter of a triangle with corners at #(3 ,3 )#, #(1 ,5 )#, and #(2 ,1 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(1 ,5 )#, and #(2 ,1 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(1 ,5 )#, and #(2 ,4 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(8 ,5 )#, and #(3 ,4 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(8 ,5 )#, and #(3 ,9 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(9 ,5 )#, and #(3 ,9 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(9 ,5 )#, and #(3 ,3 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(4 ,5 )#, and #(3 ,3 )#? What is the perimeter of a triangle with corners at #(7 ,3 )#, #(4 ,5 )#, and #(3 ,1 )#? What is the perimeter of a triangle with corners at #(7 ,6 )#, #(4 ,5 )#, and #(3 ,1 )#? What is the perimeter of a triangle with corners at #(2 ,6 )#, #(4 ,5 )#, and #(3 ,1 )#? What is the perimeter of a triangle with corners at #(2 ,6 )#, #(4 ,2 )#, and #(3 ,1 )#? What is the perimeter of a triangle with corners at #(2 ,6 )#, #(9 ,2 )#, and #(3 ,1 )#? What is the perimeter of a triangle with corners at #(2 ,5 )#, #(9 ,2 )#, and #(3 ,1 )#? What is the perimeter of a triangle with corners at #(2 ,5 )#, #(9 ,2 )#, and #(3 ,8 )#? What is the perimeter of a triangle with corners at #(6 ,5 )#, #(9 ,2 )#, and #(3 ,8 )#? What is the perimeter of a triangle with corners at #(6 ,5 )#, #(9 ,1 )#, and #(3 ,8 )#? What is the perimeter of a triangle with corners at #(6 ,5 )#, #(9 ,1 )#, and #(3 ,4 )#? What is the perimeter of a triangle with corners at #(8 ,5 )#, #(9 ,1 )#, and #(3 ,4 )#? What is the perimeter of a triangle with corners at #(8 ,5 )#, #(9 ,9 )#, and #(3 ,4 )#? What is the perimeter of a triangle with corners at #(8 ,5 )#, #(9 ,7 )#, and #(1 ,4 )#? What is the perimeter of a triangle with corners at #(8 ,2 )#, #(9 ,7 )#, and #(1 ,4 )#? What is the perimeter of a triangle with corners at #(5 ,2 )#, #(9 ,7 )#, and #(1 ,4 )#? What is the perimeter of a triangle with corners at #(5 ,2 )#, #(2 ,7 )#, and #(1 ,4 )#? An isosceles triangle has sides #a,# #b,# and #c# with sides #a# and #c# being equal in length. If side #b# goes from #(5 ,1 )# to #(3 ,2 )# and the triangle's area is #8 #, what are the possible coordinates of the triangle's third vertex? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(5 ,1 )# to #(3 ,2 )# and the triangle's area is #16 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(5 ,1 )# to #(3 ,2 )# and the triangle's area is #12 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(2 ,5 )# to #(8 ,7 )# and the triangle's area is #12 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(2 ,5 )# to #(8 ,7 )# and the triangle's area is #16 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(2 ,5 )# to #(8 ,1 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,5 )# to #(8 ,1 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,5 )# to #(8 ,2 )# and the triangle's area is #36 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,5 )# to #(1 ,2 )# and the triangle's area is #36 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(1 ,0 )# and the triangle's area is #24 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(1 ,0 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(1 ,5 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(8 ,5 )# and the triangle's area is #34 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(8 ,5 )# and the triangle's area is #48 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(2 ,9 )# to #(8 ,5 )# and the triangle's area is #48 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides #a, b# and #c# with sides #b# and #c# being equal in length. If side #a# goes from #(2 ,9 )# to #(8 ,5 )# and the triangle's area is #64 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(8 ,5 )# and the triangle's area is #64 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,1 )# to #(8 ,5 )# and the triangle's area is #64 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,1 )# to #(8 ,9 )# and the triangle's area is #64 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,3 )# to #(8 ,9 )# and the triangle's area is #64 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,3 )# to #(8 ,9 )# and the triangle's area is #36 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,3 )# to #(8 ,9 )# and the triangle's area is #45 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,5 )# to #(8 ,2 )# and the triangle's area is #27 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(8 ,5 )# and the triangle's area is #27 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(8 ,5 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(2 ,5 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(2 ,9 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,1 )# to #(2 ,9 )# and the triangle's area is #18 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,4 )# to #(2 ,1 )# and the triangle's area is #18 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(7 ,4 )# to #(2 ,1 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(1 ,4 )# to #(5 ,1 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(1 ,4 )# to #(5 ,8 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner? An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(1 ,4 )# to #(5 ,8 )# and the triangle's area is #27 #, what are the possible coordinates of the triangle's third corner? A triangle has corners at #(4 ,1 )#, #(8 ,3 )#, and #(5 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,1 )#, #(8 ,3 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,1 )#, #(2 ,3 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,7 )#, #(2 ,3 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,7 )#, #(2 ,1 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,7 )#, #(2 ,1 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,7 )#, #(2 ,6 )#, and #(5 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,7 )#, #(2 ,6 )#, and #(1 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,7 )#, #(2 ,6 )#, and #(1 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,3 )#, #(2 ,6 )#, and #(1 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,3 )#, #(2 ,6 )#, and #(1 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,3 )#, #(2 ,6 )#, and #(7 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,3 )#, #(2 ,6 )#, and #(7 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,3 )#, #(8 ,6 )#, and #(7 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,4 )#, #(8 ,6 )#, and #(7 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,4 )#, #(8 ,6 )#, and #(7 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,4 )#, #(8 ,6 )#, and #(7 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,4 )#, #(8 ,6 )#, and #(4 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,4 )#, #(7 ,6 )#, and #(4 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,4 )#, #(7 ,6 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,4 )#, #(7 ,6 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,4 )#, #(9 ,6 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,2 )#, #(9 ,6 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,2 )#, #(9 ,6 )#, and #(8 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(9 ,6 )#, and #(8 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(4 ,6 )#, and #(8 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(4 ,6 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(4 ,6 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(4 ,6 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(4 ,1 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,9 )#, #(4 ,1 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,9 )#, #(4 ,1 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,9 )#, #(1 ,1 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,9 )#, #(1 ,4 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,9 )#, #(1 ,7 )#, and #(6 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,9 )#, #(1 ,7 )#, and #(6 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(3 ,7 )#, and #(6 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,4 )#, #(3 ,4 )#, and #(6 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,4 )#, #(3 ,5 )#, and #(3 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,4 )#, #(7 ,5 )#, and #(3 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,4 )#, #(7 ,5 )#, and #(1 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,3 )#, #(7 ,4 )#, and #(1 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,6 )#, #(7 ,4 )#, and #(1 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,6 )#, #(7 ,4 )#, and #(5 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,6 )#, #(7 ,4 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,6 )#, #(7 ,4 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,6 )#, #(7 ,2 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,6 )#, #(8 ,2 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,1 )#, #(8 ,2 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,1 )#, #(8 ,2 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,6 )#, #(8 ,2 )#, and #(5 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,6 )#, #(8 ,2 )#, and #(5 ,3 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,1 )#, #(7 ,2 )#, and #(6 ,3 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,1 )#, #(7 ,2 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,1 )#, #(7 ,3 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,1 )#, #(9 ,3 )#, and #(4 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,1 )#, #(9 ,3 )#, and #(2 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,4 )#, #(9 ,3 )#, and #(2 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(3 ,4 )#, #(9 ,3 )#, and #(2 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(3 ,4 )#, #(6 ,3 )#, and #(2 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(3 ,4 )#, #(6 ,3 )#, and #(2 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(3 ,4 )#, #(6 ,7 )#, and #(2 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(3 ,4 )#, #(4 ,7 )#, and #(2 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(3 ,5 )#, #(4 ,7 )#, and #(1 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(3 ,5 )#, #(4 ,7 )#, and #(1 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,5 )#, #(2 ,7 )#, and #(3 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(6 ,7 )#, and #(3 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,1 )#, #(6 ,7 )#, and #(3 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,1 )#, #(6 ,7 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,1 )#, #(2 ,7 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,1 )#, #(2 ,4 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,4 )#, #(2 ,6 )#, and #(5 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,7 )#, #(2 ,6 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,2 )#, #(2 ,6 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,2 )#, #(6 ,7 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,2 )#, #(6 ,7 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(2 ,7 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(9 ,7 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,2 )#, #(9 ,7 )#, and #(6 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,3 )#, #(9 ,7 )#, and #(6 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,3 )#, #(9 ,2 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,3 )#, #(9 ,2 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,5 )#, #(9 ,2 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,5 )#, #(9 ,4 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,5 )#, #(5 ,4 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(5 ,4 )#, and #(6 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(5 ,4 )#, and #(6 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(5 ,4 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(5 ,7 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,9 )#, #(5 ,7 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,1 )#, #(5 ,7 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,1 )#, #(6 ,3 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,1 )#, #(8 ,3 )#, and #(3 ,8 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,1 )#, #(8 ,3 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,6 )#, #(8 ,3 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,6 )#, #(3 ,3 )#, and #(6 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,6 )#, #(3 ,9 )#, and #(6 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,6 )#, #(3 ,9 )#, and #(2 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,6 )#, #(3 ,9 )#, and #(2 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,6 )#, #(3 ,9 )#, and #(7 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(4 ,9 )#, #(3 ,7 )#, and #(7 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(3 ,4 )#, and #(4 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(3 ,4 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(3 ,8 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(7 ,8 )#, and #(4 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,9 )#, #(7 ,8 )#, and #(4 ,3 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,9 )#, #(7 ,8 )#, and #(4 ,3 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,9 )#, #(4 ,8 )#, and #(4 ,3 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,9 )#, #(4 ,8 )#, and #(5 ,3 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,9 )#, #(4 ,8 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(2 ,9 )#, #(4 ,2 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(6 ,2 )#, #(4 ,3 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,2 )#, #(4 ,3 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,6 )#, #(4 ,3 )#, and #(5 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,6 )#, #(4 ,3 )#, and #(5 ,2 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,6 )#, #(4 ,3 )#, and #(5 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,6 )#, #(4 ,3 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,6 )#, #(4 ,4 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(7 ,3 )#, #(4 ,4 )#, and #(6 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(4 ,4 )#, and #(3 ,7 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(4 ,4 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(7 ,4 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(7 ,5 )#, and #(3 ,1 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(7 ,5 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(2 ,5 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,3 )#, #(2 ,7 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(9 ,5 )#, #(2 ,7 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,5 )#, #(2 ,7 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,6 )#, #(2 ,7 )#, and #(3 ,4 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,6 )#, #(2 ,7 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,6 )#, #(4 ,7 )#, and #(3 ,5 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,6 )#, #(4 ,7 )#, and #(3 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,6 )#, #(4 ,7 )#, and #(8 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,6 )#, #(3 ,7 )#, and #(8 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(5 ,6 )#, #(3 ,2 )#, and #(8 ,9 )#. How far is the triangle's centroid from the origin? A triangle has corners at #(1 ,6 )#, #(3 ,2 )#, and #(8 ,9 )#. How far is the triangle's centroid from the origin? Prove Euclid's right traingle Theorem 1 and 2: #ET_1 =>\overline{BC}^{2} = \overline{AC}*\overline{CH};# #ET'_1 =>bar(AB)^{2} =bar(AC)*bar(AH)#; #ET_2 =>barAH^{2} = \overline{AH}*\overline{CH}#? # lies on the interval #A(x_1,y_1), B(x_2,y_2)# such that #AP : PB =a : b#, with a and b positive, show that #x= (bx_1+ax_2) /(b+a)# and #y=(by_1+ay_2)/(b+a)#? Express the area of a triangle given by vertices, #A(x_1,y_1), B(x_2,y_2), C(x_3,y_3)#. Show that it can be expressed as determinant of: #det(Delta) = [(1, 1, 1 ),(x_1, x_2, x_3),(y_1, y_2, y_3) ]#.Calculate the area of A(3,6), B(7,8), & C(5,2)? Question #afea6 Question #9a12e Point P(−5, 2) is translated using the rule (x+3, y−1). What is the x-coordinate of P' ? Point B(6, −3) is translated using the rule (x−5, y+9). What is the y-coordinate of B' ? Let P (x, y) be the midpoint of the line joining (1, 0) to the point on the curve y^2= (x+1)(x+5) – (x+2)(x+3). The locus of P is symmetric about ? What is the approximate distance between points (-7,2) and (11, -5)? How many values of x between 0.01 and 1 does the graph #sin(1/x)# cross the x-axis? What is distance between lines #x+2y=5# and #2x+4y=7#? Question #28c14 Question #9cca2 Question #a7d14 Question #2d2fb What is the length of AB, given #A(5, -2)# and #B(-3, -4)#? The coordinates of A are #(-7,4)# and the coordinates of G are #(3,-10)#. How do you determine and state the coordinates of M if AG is partitioned into a ratio of 1:3? What is the length of a line segment with endpoint M at (-7, 1) and endpoint N at (3, 4)? How do you find the distance between #P(-5, -4)# and #P(7, 5)#? Find the distance between the two labeled points? What does the following graph tell us about Janet and Sophie's journey? The diagram below shows five squares of respective side lengths 1, 1, 2, 3 and 5. The centres A, B and C of three of the squares lie on a straight line. What is the ratio of the length BC to the length AB? What is the distance between (8, -3) and (4, -7)? If line 1 has parametric equations #x=s, y=2-s, z=-2+s, s inRR#. Line 2 has parametric eqns #x=1+3t, y=-2-2t, z=6+2t, t in RR#. Can you find shortest distance between the points? And, the coord of points where the common perpendicular meets the lines? Question #78376 Find the distance CD rounded to the nearest tenth. C=(5,6) and D=(2,2) ? Triangle ABC is graphed on a coordinate plane. find the length of AB? Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 16 feet, South 9 feet, and Down 9 feet. The other person travels North 16 feet, East 8 feet, and Up 9 feet. How far apart are the two people? Round Analytic Geometry View all chapters Geometry Problems on a Coordinate Plane Distance between Points Equations of Parallel and Perpendicular Lines Prev Next