There are two vertices A=(2,-2) and B=(6,0) in an isosceles triangle ABC and it's area is 20. How to find the vertex C?
I have used AB as the base of triangle,and I've found its length, I also have found the midpoint of AB and the high from the midpoint to the vertex C. But I don't have any idea of how continue and find vertex C. Any suggestions for me???
To help you better understand the question, I add the following picture.
Can you tell how many answers are there? Can you explain why $\triangle ABC_3$ and $\triangle ABC_4$ are not qualified candidates? From that we confirm AB cannot be used as a leg of the issosceles triangle.