In the isosceles right triangles, each area equals half the square
of the side. Divide both sides of the pythagorean relationship
by 2 to prove the extension for this figure.
these triangles, each area equals one-fourth the square of the
side. Students should divide by 4 to prove the extension.
For equilateral triangles, multiply each term of the Pythagorean
and divide by 8 to prove the extension for semicircles.