Two corners of an isosceles triangle are at #(2 ,5 )# and #(9 ,8 )#. If the triangle's area is #12 #, what are the lengths of the triangle's sides?
1 Answer
Explanation:
The two corners of the isosceles triangle are at (2,5) and (9,8). To find the length of the line segment between these two points, we will use the distance formula (a formula derived from the Pythagorean theorem).
Distance Formula for points
So given the points
So we know that the base has a length
Now we know that the area of the triangle is
Finally to find the length of a side, we will use Pythagorean theorem (
So the length of its sides is