Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises: 11b

Answer

$(4, 5, 6)$ is not a Pythagorean Triple

Work Step by Step

The longest side is always the hypotenuse. $c=6$ Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $4^{2}+5^{2}=6^{2}$ Simplify... $16+25=36$ $41\ne 36$ Since the equation is not true, the numbers $(4, 5, 6)$ are NOT a Pythagorean Triple.
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