isocolese triangle
we know that the line connect a and b is the hyptonuse
so first find the hypotonuse length using the distance formula, call the length c
since it is an isocolese triangle, the lengths of the legs are the same
using pythagorean theorem,
in this case, a=b since isocolese triangle so we get
or
we can find c so we can find the distances
we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c
if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where
and
intersect to find where they intersect
i'm not going to put an example because i have to go to class. i hope this explanation is enough