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Published byPhillip Marshall Modified over 7 years ago

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Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.

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Pythagorean Theorem c 2 b a c In a ____ triangle, the square of the length of the __________ is equal to the sum of the squares of the lengths of the ____. right hypotenuse legs a 2 + b 2 =

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Pythagorean Triple A set of three positive integers a, b, and c that satisfy the equation a 2 + b 2 = c 2. The integers 3, 4, and 5 form a Pythagorean triple because: 3 2 + 4 2 =5252 9 + 16 =25 25 =25

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Find the length of the hypotenuse 12 x 5 a 2 + b 2 = c 2 5 2 + 12 2 = x 2 25 + 144 = x 2 169 = x 2 13 = x

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Find the length of the leg a 2 + b 2 = c 2 7 2 + x 2 = 14 2 49 + x 2 = 196 x 2 = 147 x = 7 3 x 14 7

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