What do you call the point of intersection of the three angle bisector?
The angle bisectors of a triangle intersect each other at a point called the incircle/incenter of the triangle. The incircle/incenter of a triangle is the same as the center of a circle inscribed in a triangle. Every triangle can have exactly one inscribed circle, whose center is the incircle of the triangle, which is the point at which the angle bisectors of the triangle intersect. The incircle, then, is equidistant from the three sides of the triangle–a property that results from the inherent congruency of the radii of a circle.
