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Calculating the Length of the Hypotenuse Using the Pythagorean Theorem

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  1. 625= c ANSWER The length of the hypotenuse is 25 inches. EXAMPLE 1 Finding the Length of a Hypotenuse Find the length of the hypotenuse of a right triangle with a 15inch leg and a 20inch leg. a2 + b2 =c 2 Pythagorean Theorem 152 + 202= c2 Substitute 15 for aand 20 forb. 225 + 400= c2 Evaluate powers. 625= c2 Add. Take positive square root of each side. 25 = c Evaluate square root.

  2. 1. Find the length of the hypotenuse of a right triangle with a 28inch leg and a 45 inch leg. ANSWER The length of thehypotenuse is 53 inches for Example 1 GUIDED PRACTICE

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