Construct Real Numbers Using Pythagoras Theorem

This example demonstrates how to construct irrational numbers, such as square roots, using the Pythagorean theorem in right triangles. Key math concepts include the Pythagorean theorem, geometric mean, similar triangles, and proportionality. GeoGebra commands like Line, Circle, Intersect, Segment, and OrthogonalLine are used to build the geometric figures. Suitable for high school mathematics education to understand the geometric representation of real numbers and the integration of numbers and shapes.