Constructing the Incenter of a Triangle by Gianluca Occhetta

This example demonstrates how to construct the incenter of a triangle in GeoGebra. It shows the triangle formed by points A, B, and C, the angle bisectors, their intersection as the incenter, and the incircle tangent to the sides. Key concepts include triangle geometry, angle bisectors, perpendicular distance, circle construction, and tangency. The construction uses Segment to draw the sides, AngularBisector to create angle bisectors, Intersect to locate the incenter, OrthogonalLine to establish perpendicular relationships or radius directions, and Circle to draw the incircle. It is suitable for middle-school or high-school geometry lessons, compass-and-straightedge construction practice, and dynamic GeoGebra demonstrations.