Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises: 22

Answer

c=17ft

Work Step by Step

The legs are 8 ft and 15ft. You have to find the hypotenuse so plug in a and b in the Pythagorean formula: $a^{2}$ + $b^{2}$= $c^{2}$=$8^{2}$ + $15^{2}$ = $c^{2}$: $8^{2}$ + $15^{2}$ = $c^{2}$ -do the exponents- 64+225= $c^{2}$ -add like terms- 289= $c^{2}$ -find the square root of 289 to solve for c- 17=c C is 17ft
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