Right Triangle Inscribed in a Semicircle

① This interactive GeoGebra example demonstrates the classic theorem that any triangle inscribed in a semicircle with the diameter as one side is a right triangle. ② Core mathematical concepts include circle properties, the inscribed angle theorem, right triangle identification, midpoint and center relationships, and polygon construction. ③ Construction details: uses Semicircle, Segment, Point, Angle, Midpoint, and Polygon commands; key objects include A, B, C, O, and angle α, allowing dynamic manipulation. ④ Suitable for middle and high school geometry lessons, ideal for classroom demonstrations or student exploration to verify the angle-in-semicircle property and understand relationships between circles and triangles.