English schoolteacher Andrew and his students sing a song explaining the pythagorean formula: a2 + b2 = c2. They illustrate the appearance of a right triangle several times to reinforce the concept they are singing about.

The Wizard of Oz awards Scarecrow an honorary Th.D (Doctor of Thinkology) degree. After receiving the degree, Scarecrow incorrectly recites the pythagorean theorem.

Stephen Fry illustrates the Pythagorean theorem using a water-filled model that represents the squares of each side as literal squares.

Homer enters a bathroom and happens upon some glasses. He wears them, and in an attempt to be smart, incorrectly recites the pythagorean theorem. Someone in one of the bathroom stalls corrects his mistake.

Jackie, Matt, and Inez set out to prove that Hacker doesn't deserve to be the ruler of Cyberspace. They try to find a counterexample to his statement that "you can always make a triangle out of any three rods." After some experimentation, they discover that one long rod and two short rods do not connect and therefore do not make a triangle. They present their findings during the debate.