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Grover and Rosita illustrate and explain the properties of a triangle. Rosita brings over two different-looking triangles to serve as visual aids, and Grover does not consider them to be triangles. He creates an equilateral triangle and states why it is a triangle. Rosita mentions that the triangles she brought in fit his definition of a triangle, causing Grover to realize that there are different types of triangles.

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.

The CyberSquad cannot make a big enough square with the rods it has available, so Jackie suggests making a triangle. The group successfully forms a triangle and then attempts to make a square with two triangles unsuccessfully. When Digit creates a right triangle, the group tries again to combine the triangles into a square. This time, it is successful, and Jackie explans how to know they've formed a proper square.

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.

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.