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 - Page 617: 29


C=10 ft

Work Step by Step

The legs are 8 and 6. You have to find the hypotenuse so you plug in a and b into the Pythagorean theorem: $a^{2}$ + $b^{2}$= $c^{2}$ --> $8^{2}$ + $6^{2}$ = $c^{2}$: $8^{2}$ + $6^{2}$ = $c^{2}$ -solve the exponents- 64+36= $c^{2}$ -add like terms- 100= $c^{2}$ -fnd the square root for 100 to find c- 10=c C is 10 ft
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