# Circle inscribed in a triangle which has perimeter 10

The perimeter of a triangle is 10, and the area of the in-circle is $4\pi$. What is the area of the triangle?

I found the radius of the circle to be 2, but how can I use that to find the base and the height?

You can calculate the area with: $A=\frac{pr}{2}$, where $p$ is the perimeter of the triangle and $r$ the radius of the in-circle.