CPM Homework Banner

Obtuse triangle, with obtuse angle at the top, with a circle inscribed in the triangle, so that the circle is tangent to the left & right sides of the triangle, close to the top angle, & is tangent to the bottom side of the triangle, almost directly below the top vertex.Ben is designing a logo for the math club t-shirts. He has sketched a possible design on tracing paper, shown below. Explain how he can locate the center of the inscribed circle. What is that point called in relation to the triangle?

The circle is inscribed in the triangle. Which triangle center is this?