The incenter is the center of of a triangle.

Angle bisectors

Step-by-step explanation:

The incenter is the point forming the origin of a circle inscribed inside the triangle. Like the centroid, the incenter is always inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.

The Incenter of a triangle

Note the way the three angle bisectors always meet at the incenter. 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.

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step-by-step explanation:

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