One of several centers the triangle can have, the incenter is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle - the largest circle that will fit inside the triangle.
|Center of the incircle||The incenter is the center of the triangle's incircle, the largest circle that will fit inside the triangle and touch all three sides. See Incircle of a Triangle.|
|Always inside the triangle||The triangle's incenter is always inside the triangle. Adjust the triangle above by dragging any vertex and see that it will never go outside the triangle|
It is possible to find the incenter of a triangle using a compass and straightedge.
See Constructing the the incenter of a triangle.
If you know the coordinates of the triangle's vertices, you can calculate the coordinates of the incenter. See Coordinates of incenter.
Located at intersection of the
Located at intersection of the perpendicular bisectors of the sides
||Located at intersection of the medians|
||Located at intersection of the altitudes|