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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.