# 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 #4 # and the triangle has an area of #128 #. What are the lengths of sides A and B?

##### 1 Answer

#### Explanation:

When in doubt, draw a diagram.

**Sidenote:** I have labeled this diagram according to the convention, with angles

We know that

Now, focus just on **bisector**).

Convert back to the format given in the question: