Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - The Pythagorean Theorem and the Distance Formula - Exercises: 3

Answer

$$b=15$$

Work Step by Step

Use the Pythagorean Theorem: $$c^{2}=a^{2}+b^{2}.$$ Rearrange terms: $$b^{2}=c^{2}-a^{2}.$$ Substitute in $a=8$ and $c=17:$ $$b^{2}=17^{2}-8^{2}=289-64=225.$$ Take the square root of both sides: $$\sqrt {b^{2}}=\sqrt {225}$$ $$b=15.$$
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