Elementary Geometry for College Students (7th Edition)

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: 12b


$(10, 13, 19)$ are not a Pythagorean Triple

Work Step by Step

The longest side is always the hypotenuse. $c=19$ Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $10^{2}+13^{2}=19^{2}$ Simplify... $100+169=361$ $269\ne361$ Since the equation is not true, the numbers $(10, 13, 19)$ are NOT a Pythagorean Triple.
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