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The Humongous Book of Trigonometry Problems by W. Michael Kelley

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Pythagorean Theorem

a2 + b2 = c2

Note: Problems 2.1–2.3 refer to right triangle XYZ in the diagram below.

2.1    Identify the hypotenuse of the triangle and justify your answer. Then, classify the remaining sides of the triangle.

The hypotenuse of a right triangle is its longest side, and it is always located opposite the right angle. A small square drawn at a vertex of a figure indicates a right angle, so in this diagram, is a right angle. Therefore, the side opposite angle Y is the hypotenuse: . Note that is visibly longer than either of the ...

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