Pythagorean Theorem (Right Triangles with Irrational Sides) Interactive Demo

This GeoGebra example demonstrates the Pythagorean theorem in right triangles, with a special focus on cases where side lengths are irrational numbers (e.g., √2, √3). It visually verifies that the area of the square on the hypotenuse equals the sum of areas of squares on the other two sides. Core mathematical concepts include the Pythagorean relation (a²+b²=c²), geometric representation of irrational lengths, and area conservation. The construction uses Segment and Polygon to build the triangle and squares on each side, Angle to ensure right angles, and Textfield, SelectedElement, SelectedIndex for interactive input of side lengths. Conditional statements (If) and a button (button1) dynamically update the figure and computed results. This resource is suitable for middle school to high school students learning the Pythagorean theorem and irrational numbers, and can be used in math labs or inquiry-based activities to connect geometric intuition with algebraic formulas.