Pythagorean Theorem with Technology
Task #1: Pythagorean Polygons
Task #2: Organic Pythagorean Theorem
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. Did you know the Pythagorean Theorem holds for any similar figures constructed on the sides of a right triangle?
Drag the GREEN point to change the shape of the polygons.
Drag the RED points to change the size of the right triangle.