Pythagorean Theorem Dynamic GeoGebra Demonstration and Area Proof

This GeoGebra example dynamically demonstrates the Pythagorean theorem by constructing squares on the three sides of a right triangle and comparing their areas to show a^2 + b^2 = c^2. The core concepts include right triangles, perpendicular lines, segment length, angle measurement, polygon construction, and area relationships. The construction uses Segment to connect points A, B, and C, OrthogonalLine and Intersect to establish the right-angle geometry, Polygon to create squares poly1, poly2, poly3, and poly4, and Angle and Distance to label α, side lengths a, b, c, and area texts such as Textpoly2, Textpoly3, and Textpoly4. It is suitable for middle-school geometry, introductory coordinate geometry, and classroom demonstrations or student explorations of theorem proof.