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In order to know that there is a mathematical mistake is a reason for why math is necessary in "The Wizard of Oz."

Specifically, this is an incident in the beloved 1939 film version but not the original 1900 book edition of "The Wizard of Oz." The Scarecrow feels smarter because of receiving "brains" from the humbug Wizard. He declares that "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side." The statement comes mangled from the Pythagorean theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the two other sides of that triangle.

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Q: Why is math necessary in 'The Wizard of Oz'?
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