# 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 #18 # and the triangle has an area of #90 #. What are the lengths of sides A and B?

##### 1 Answer

May 7, 2016

A=B=

#### Explanation:

Area of triangle is given by:

given that A=B, C is the base of the triangle ABC hence,

height =

Given that the height bisects the base C,

the side A and B can be found using Pythagoras's theorem,

A=B=