Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 252: 12a

Answer

$(8, 15, 17)$ are a Pythagorean Triple

Work Step by Step

The longest side is always the hypotenuse. $c=17$ Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $8^{2}+15^{2}=17^{2}$ Simplify... $64+225=289$ $289=289$ Since the equation is true, the numbers $(8,15,17)$ are a Pythagorean Triple.
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