incenter

Inscribed circle's center

The incenter is the point where the three angle bisectors of a triangle meet.

It serves as the center of the triangle's inscribed circle—the largest circle that fits inside the triangle, touching all three sides.

Unlike the centroid or circumcenter, the incenter always lies inside the triangle regardless of its shape.

circle

radius

Center-to-perimeter distance

tangency · equidistant · arc · chord · diameter · concentric · cyclic · inradius

triangle

circumcenter

Perpendicular bisectors' intersection

angle · bisector · equilateral · isosceles · scalene · acute · obtuse · altitude · median · perpendicular

construction

bisector

Line splitting something equally

concurrent · constructible · locus · plane · proof · theorem · postulate

Opposites
triangle center type

incentercircumcenter

Perpendicular bisectors' intersection

orthocenter · centroid

Phrases
Family

incentive, incentives, incenting, incented, incents, incent

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