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

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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 15 inch leg and a 20 inch leg. a 2 + b 2 = c 2. Pythagorean Theorem. 15 2 + 20 2 = c 2. - PowerPoint PPT Presentation

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Page 1: EXAMPLE 1

EXAMPLE 1 Finding the Length of a Hypotenuse

Find the length of the hypotenuse of a right triangle with a 15 inch leg and a 20 inch leg.

a 2 + b 2 = c 2

152 + 202 = c 2

225 + 400 = c 2

625 = c 2

625 = c25 = c

ANSWER

The length of the hypotenuse is 25 inches.

Pythagorean Theorem

Substitute 15 for a and 20 for b.

Evaluate powers.

Add.

Take positive square root of each side.

Evaluate square root.

Page 2: EXAMPLE 1

GUIDED PRACTICE for Example 1

Find the length of the hypotenuse of a right triangle with a 28 inch leg and a 45 inch leg.

1.

ANSWER

The length of the hypotenuse is 53 inches


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