# Construct a triangle ^ABC and the three angle bisectors of the interior angles of ^ABC. Observe that

Construct a triangle ^ABC and the three angle bisectors of the interior angles of ^ABC. Observe that the three angle bisectors are concurrent. The point of concurrency is called the incenter for ^ABC. The reason for the name will be explained in Chapter 8, where it will be shown that the angle bisectors are concurrent in neutral geometry (Theorem 8.2.8). Make a tool that finds the incenter of a triangle. Your tool should accept three vertices of a triangle as inputs and produce the triangle and the incenter I as outputs. Drop perpendiculars from the incenter to each of the sides of the

Construct a triangle ^ABC and the three angle bisectors of the interior angles of ^ABC. Observe that the three angle bisectors are concurrent. The point of concurrency is called the incenter for ^ABC. The reason for the name will be explained in Chapter 8, where it will be shown that the angle bisectors are concurrent in neutral geometry (Theorem 8.2.8). Make a tool that finds the incenter of a triangle. Your tool should accept three vertices of a triangle as inputs and produce the triangle and the incenter I as outputs. Drop perpendiculars from the incenter to each of the sides of the triangle. Measure the distance from the incenter to each of the sides. What do you observe?