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

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Presentation transcript:

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

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 =

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: = =25 25 =25

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

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