Pythagoras Investigation: Dynamic Geometry Exploration of the Pythagorean Theore

① This GeoGebra example demonstrates the Pythagorean theorem by constructing squares on the three sides of a right triangle and dynamically showing the area relationship (a² + b² = c²). ② Core mathematical concepts include right triangles, the Pythagorean theorem, area conservation, perpendicularity, congruence, and reflection transformations. ③ Construction details: using GeoGebra commands such as OrthogonalLine, Circle, Intersect, and Polygon, the applet builds a right triangle and squares on each side, with auxiliary objects like points A, B, C, D, E, F, segments a, b, c, d, e, h, and multiple text labels (text1, text4, etc.) for area values, plus a slider (i) for interactive adjustment. ④ Suitable for middle school to high school students, this resource supports inquiry-based learning of geometric theorems and serves as an effective classroom demonstration tool for visualizing and proving the Pythagorean theorem.