The incenter is a point in a triangle that is equidistant from all three sides. It is the intersection of the angle bisectors of the triangle, which are the lines that split each angle into two equal parts. The incenter is always located inside the triangle, regardless of the triangle's type (acute, right, or obtuse). The incenter serves as the center of the triangle's inscribed circle, or incircle, which is the largest circle that can fit inside the triangle. The radius of this circle is the distance from the incenter to any of the triangle's sides, making it a crucial concept in geometry related to triangles and their properties.