An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #8 # and the triangle has an area of #36 #. What are the lengths of sides A and B?
then, given an area of
the triangle must have a height (relative to the base
Dividing the triangle into two right angled triangles as in the image below:
and using the Pythagorean Theorem: