1. the center of the inscribed circle of a triangle, located at the intersection of the triangle’s angle bisectors
Usage: geometry

Examples

• The incenter is equidistant from all three sides of the triangle.
• To find the incenter, draw the angle bisectors of each angle in the triangle.
• The incenter always lies inside the triangle, regardless of the triangle’s shape.
• Students learned to construct the incenter using a compass and straightedge.
• The distance from the incenter to any side equals the radius of the inscribed circle.
• In an equilateral triangle, the incenter coincides with the centroid.