# 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 #6 # and the triangle has an area of #64 #. What are the lengths of sides A and B?

##### 1 Answer

Jul 26, 2016

#### Explanation:

Using

the height of the triangle (relative to

Since

the height (relative to side

Using the Pythagorean Theorem

Using a calculator or computer we can evaluate this as

(and