Right Triangle Inscribed in a Semicircle by Guyot Fabrice

This example illustrates how a right triangle can be inscribed in a semicircle, demonstrating the classic theorem that the hypotenuse of such a triangle equals the diameter of the circle. Key mathematical concepts include right triangles, circle properties, arcs, angle relationships, and coordinate geometry constructions. Using GeoGebra commands CircleSector, Point, Segment, and Angle, the construction defines a semicircle, points A, B, C, and builds the triangle sides and angles, allowing users to verify the right‑angle condition. It is suitable for middle‑school geometry lessons or high‑school interactive geometry and analytic geometry activities.