Question

incentre with diagram

Answer 1

the centre of the incircle of a triangle or other figure.

Answer 2

The incenter is one of the triangle's points of concurrency formed by the intersection of the triangle's 3 angle bisectors.

These three angle bisectors are always concurrent and always meet in the triangle's interior (unlike the orthocenter which may or may not intersect in the interior). The incenter is the center of the incircle . The incenter is the one point in the triangle whose distances to the sides are equal.

If the triangle is obtuse, such as the one on pictured below on the left, then the incenter is located in the triangle's interior.

If the triangle is acute, then the incenter is also located in the triangle's interior.