# 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 #3 # and the triangle has an area of #42 #. What are the lengths of sides A and B?

##### 1 Answer

If we presume that C is the base of the triangle:

A = 28.04

B = 28.04

#### Explanation:

First we need to find the height or

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Then we use one of the most powerful tools in geometry to decode the side lengths of A and B, the Pythagoras Theorem. In this case, as A and B meet at the vertex and a perpendicular drawn from this point on base bisects it. Hence, it forms a right angled triangle, whose two legs are

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All the best!