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 - Page 250: 13b

Answer

Acute Triangle

Work Step by Step

Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $4^{2}+5^{2}=6^{2}$ Simplify... $16+25=36$ $41=36$ Since the sum of the sides squared $(41)$ is greater than the hypotenuse squared $(36)$, the triangle is an acute triangle.
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