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?
One possible coordinate would be
One possible corner would be opposite to side length A if side A is the base of the isosceles triangle. We can find the length of A using the distance formula:
The area of the triangle can be found using the formula:
Now we need to find the coordinates of a point that is
The two possible points for the third corner are at