In the 1939 classic movie The Wizard of Oz, Ray Bolgers character, the Scarecrow, wants a brain.

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In the 1939 classic movie The Wizard of Oz, Ray Bolger’s character, the Scarecrow, wants a brain. When the Wizard grants him his “Th.D.” (Doctor of Thinkology), the Scarecrow replies with the following statement.


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


His statement sounds like the formula for the Pythagorean theorem. To see why it is incorrect, work Exercises in order.image


Data from in Pythagorean theorem


image


To what kind of triangle does the Scarecrow  refer in his statement? To what kind of triangle  does the Pythagorean theorem actually refer?

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Intermediate Algebra

ISBN: 9780134895987

13th Edition

Authors: Margaret Lial, John Hornsby, Terry McGinnis

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