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?
1 Answer
The coordinates of the third corner are
Explanation:
Let the coordinates of the third corner be
The mid point of side
We apply Pythagoras' theorem to the triangles
We now write the second equation
The area is
Solving for
We solve this quadratic equation