Dr. Nestler's Math 2 Precalculus

Homer/Scarecrow worksheet

We consider the scene from the 1939 film *The Wizard Of
Oz* in which the Scarecrow receives his brain, and
the introductory scene from the episode $pringfield (Or,
How I Learned to Stop Worrying and Love Legalized Gambling) of *The
Simpsons* in which Homer finds a pair of eyeglasses in a public restroom.
Homer's recitation is the same as the Scarecrow's, although Homer receives a
response:

Homer: The sum of the square roots of any two sides
of an isosceles triangle is equal to the square root of the remaining side.

Man in bathroom stall:
That's
a right triangle, you idiot!

Homer:
D'oh!

1. What are Homer and the Scarecrow attempting to recite? Identify the error or errors in their version of this well-known result. Is their statement true for any triangles at all? If so, which ones?

2. Is the correction from the man in the stall sufficient? Give a complete, correct statement of what Homer and the Scarecrow are trying to recite. Do this first using only English words, and a second time using mathematical notation. Use complete sentences.

3. Think of another mathematical formula that you know well. As before, give a complete statement of the mathematical result that is encapsulated by the formula. Write it first using only English words, and then again using mathematical notation.

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