Exploring Pythagoras' Theorem: A Dynamic Geometry Demonstration

① This interactive GeoGebra example dynamically demonstrates the Pythagorean theorem, showing that in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. ② Core mathematical concepts include the Pythagorean theorem, right triangles, side lengths, areas, and algebraic relationships. ③ Construction highlights: using GeoGebra commands Segment and Angle to build the right triangle, with objects C, a_1, b_1, A, B, c, b, a, α defining vertices and sides; text objects (text1 to text6) display numerical comparisons of squared side lengths, and auxiliary shapes like rectangles or cubes may visualize area relationships. ④ Suitable for middle school to high school students, this example supports exploratory learning of geometric theorems and serves as an effective classroom demonstration tool for teachers to illustrate the algebraic and geometric meaning of the Pythagorean theorem.