# 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?

##### 1 Answer

May 23, 2018

#### Explanation:

If

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: