Incenter

The incenter of a triangle is the point where the three angle bisectors (lines dividing each angle into two equal parts) meet. It is the center of the inscribed circle (incircle), which is the largest circle that fits perfectly inside the triangle, touching all three sides. The incenter is equidistant from all three sides of the triangle, meaning the distance from this point to each side is the same. This makes the incenter an important point in geometry, often used in constructions and proofs involving triangle properties.