# 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 #88 #. What are the lengths of sides A and B?

##### 1 Answer

Jun 10, 2016

#### Explanation:

Viewing C as the base and denoting the height as

the formula for the area of a triangle tell us that:

This implies that

Side A (or B) together with half the length of C and the height form a right-angled triangle (with A the hypotenuse).

Therefore