# 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 5  and the triangle has an area of 40 . What are the lengths of sides A and B?

Aug 30, 2016

$s i \mathrm{de} s A \mathmr{and} B = 16.194$

#### Explanation:

Let h = height of the triangle
Area = $\frac{1}{2} \times 5 \times h = 40$
$h = 16$
side A = side B = $\sqrt{{16}^{2} + {\left(\frac{5}{2}\right)}^{2}} = 16.194$