You know the Pythagorean Theorem as a theorem regarding areas, in particular, the sum of the areas of the squares constructed on the legs of a right triangle is equal to the area of the square built on the hypotenuse. You also know that the Pythagorean Theorem holds for any regular polygons constructed on the sides of a right triangle. Did you know the Pythagorean Theorem holds for any similar figures constructed on the sides of a right triangle?[br][br]Drag the [color=#0fdf2c]GREEN[/color] point to change the shape of the polygons.[br]Drag the [color=#ff0000]RED[/color] points to change the size of the right triangle.