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 251: 14c

Answer

Obtuse Triangle

Work Step by Step

Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $10^{2}+12^{2}=16^{2}$ Simplify... $100+144=256$ $244\ne256$ Since the sum of the sides squared $(244)$ is less than the hypotenuse squared $(256)$, the triangle is an obtuse triangle.
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