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Geometry 4.4 SWLT: Use the Pythagorean Theorem to find side lengths of Right Triangles

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Parts of a Right Triangle Hypotenuse Longest side of a right triangle Side opposite the right angle Legs of a Right Triangle Two shorter legs of a right triangle The two legs that make up the right angle Label the Hypotenuse and the legs of the below Triangle Hypotenuse: BC Legs: AB & AC A B C

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The Pythagorean Thereom Hypotnuse 2 = (leg 1 ) 2 + (leg 2 ) 2 c 2 = a 2 + b 2 a b c

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Using the Pythagorean Theorem to find… The Hypotenuse Hypotnuse 2 = (leg 1 ) 2 + (leg 2 ) 2 c 2 = 3 2 + 4 2 c 2 = 9 + 16 c 2 = 25 c = 5 One of the legs Hypotnuse 2 = (leg 1 ) 2 + (leg 2 ) 2 10 2 = 6 2 + b 2 100 = 36 + b 2 b 2 = 64 b = 8 6 b 10 3 4 c

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