The Incenter

I constructed the 3 angle bisectors. The intersection of the three angle bisectors is called the incenter. Drag a vertex of the triangle. Draw a circle centered at the incenter to the point on each side nearest the incenter. What do you notice of the incenter?

Drag a vertex of the triangle. Draw a circle centered at the incenter to the point on each side nearest the incenter. What do you notice of the incenter?

Construct a circle centered at the incenter with a radius to the point on each side nearest the incenter.What do you notice?