Pythagorean Theorem Dynamic Geometry Demonstration

① This GeoGebra example dynamically demonstrates the Pythagorean theorem in a right triangle, showing that the sum of the areas of squares on the two legs equals the area of the square on the hypotenuse. ② Core mathematical concepts include right triangles, the Pythagorean theorem, area conservation, perpendicularity, and parallelism, along with verifying algebraic identities through geometric construction. ③ Construction highlights: uses OrthogonalLine to create perpendiculars, Point to define vertices, Segment to connect sides, and Intersect to find foot points; objects include multiple segments (a, b, c, d, e, etc.), perpendicular lines (h, k, l, m, n, p, q, r), and numerous polygon regions (S1 to S16) for area comparison. ④ Suitable for middle and high school students learning geometric theorems, and for teachers to demonstrate the proof and area relationships of the Pythagorean theorem, fostering geometric intuition and logical reasoning.