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Calculating the Length of the Hypotenuse Using the Pythagorean Theorem

This article guides you through the process of finding the length of the hypotenuse in right triangles using the Pythagorean Theorem. It provides step-by-step examples with specific leg lengths, such as 15 inches and 20 inches, illustrating how to apply the theorem (a^2 + b^2 = c^2). You'll learn to substitute values, evaluate powers, and find the square root to determine the hypotenuse length. Perfect for students and anyone needing to refresh their geometry skills.

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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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