The point of intersection of the angle bisectors of a triangle is equidistant from the _____ of the triangle.

The point of intersection of the angle bisectors of a triangle is equidistant from the _____ of the triangle.

Explanation

The point of intersection of the angle bisectors of a triangle is called the incenter.

The incenter is equidistant from all three sides of the triangle, as it is the center of the incircle (the circle inscribed within the triangle).