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.
Incenter![]() |
Located at intersection of the
angle bisectors.
See |
Circumcenter![]() |
Located at intersection of the perpendicular bisectors of the sides See |
Centroid![]() |
Located at intersection of the medians |
Orthocenter![]() |
Located at intersection of the altitudes |