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 - Mid-Chapter Quiz - Page 632: 6



Work Step by Step

The hypotenuse is 41 and the leg is 9. To find the other leg plug in a and c into the Pythagorean formula $a^{2}$ + $b^{2}$= $c^{2}$ --> $9^{2}$ + $b^{2}$= $41^{2}$: $9^{2}$ + $b^{2}$= $41^{2}$ -simplify the exponent- 81+ $b^{2}$ =1681 - subtract 81 from both sides- $b^{2}$=1600 -find the square root of 1600 to solve for b- b=40 B is 40.
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