Pythagoras' Theorem Proof 2 - Visual Area Demonstration

This GeoGebra example provides a visual proof of the Pythagorean theorem by constructing semicircles on each side of a right triangle and demonstrating that the sum of the areas of the two smaller semicircles equals the area of the semicircle on the hypotenuse. The core mathematical concepts include right triangles, semicircle area, the Pythagorean theorem, and area conservation. The construction uses GeoGebra commands such as Polygon to create the triangle, Semicircle to draw arcs on each side, Point and Angle to mark vertices and the right angle, Distance to measure side lengths, and Text objects to display computed areas and squared lengths, allowing dynamic comparison. This is suitable for middle school or high school geometry classes, offering an intuitive area-based approach to understanding the theorem and supporting exploratory learning.