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.

David Stringer explains ancient Pythagoras' findings about right triangles. He illustrates the Pythagorean Theorem and explains how special right triangles with the ratio 3:4:5 can be scaled up to any size.

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.

After eating dinner, Chuck illustrates to Wilson their slim chances of being rescued. He calculates the area that the rescue team would have to potentially search to find them: approximately 502,000 square miles.