Inscribe Triangle

1. Begin with a triangle $$\triangle{A B C}$$

2. Construct the angle bisector of each angle. They will meet at point I.

3. Construct a line that passes through I and is perpendicular to one edge (in this picture, $$\overline{B C}$$). It intersects the edge at point P.

4. The circle $$\overset{\frown}{I P}$$ is the incircle of the triangle.