The incenter of a triangle is the point where the three interior angle bisectors intersect. The three angle bisectors are always concurrent and always meet in the triangle’s interior. The incenter is thus one of the triangle’s points of concurrency along with the orthocenter, circumcenter, and centroid. It is typically represented by the letter ‘I’.

When a circle is inscribed in a triangle such that the circle touches each side of the triangle, the center of the circle is also called the incenter.