Exploration of The Pythagorean Theorem through the construction of regular polygons and circles on the sides of a right triangle.

Exploration 1: Circles on each side (which serve as the diameters).

Exploration 2. Circles made from the sides as radii.

Exploration 3: Equilateral triangles created on each side.

Exploration 4: Regular octagons created using the length of each side.

Exploration 5: A 20-sided polygon constructed on each side.

Download the Sketchpad File which contains all of the sketches.