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: 13c


right triangle

Work Step by Step

Using the Pythagorean Theorem... $a^{2}+b^{2}=c^{2}$ $2^{2}+(\sqrt 3)^{2}=(\sqrt 7)^{2}$ Simplify... $4+3=7$ $7=7$ Since the sum of the sides squared $(7)$ is equal to the hypotenuse squared $(7)$, the triangle is a right triangle.
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