Pythagorean Theorem: Dynamic Geometric Demonstration with Polygon Areas

This GeoGebra example provides an interactive geometric demonstration of the Pythagorean theorem, showing that in a right triangle, the sum of the areas of the squares on the two legs equals the area of the square on the hypotenuse. The core mathematical concepts involved are right triangles, the Pythagorean theorem, polygon area calculation, rotation, and angle measurement. The construction uses GeoGebra commands such as Line, Rotate, Angle, Point, Polygon, PointIn, and Distance to build the right triangle ABC and the three squares (poly1, poly2, poly3) on its sides, then verifies the area relationship through rotation and distance measurements. This resource is suitable for middle school and above students learning the Pythagorean theorem, and is also valuable for teachers demonstrating the theorem in class or for students exploring geometric proofs and area-based verification independently.