SOLUTION: Acute isosceles triangle ABC has vertices A(-2,-1), B(3,13), with point C on the line x=-7. If AB=BC, then find the coordinates of C.

Question 1100224: Acute isosceles triangle ABC has vertices A(-2,-1), B(3,13), with point C on the line x=-7. If AB=BC, then find the coordinates of C.
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

If AB=BC, then (AB)^2 = (AC)^2; so we can solve the equation that says the squares of the distances are equal.

Using the distance formula on AB, we find
Using the distance formula on BC, we find

Then

Point C is (-7,2)
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