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: 5



Work Step by Step

The hypotenuse is 50 and the leg is 14. To find the other leg plug in a and c into the Pythagorean formula $a^{2}$ + $b^{2}$= $c^{2}$ --> $14^{2}$ + $b^{2}$= $50^{2}$: $14^{2}$ + $b^{2}$= $50^{2}$ -simplify the exponent- 196 + $b^{2}$ =2500 - subtract 196 from both sides- $b^{2}$=2304 -find the square root of 2304 to solve for b- b=48 B is 48.
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