Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 22

Answer

Not a right triangle.

Work Step by Step

The given sides are $a=2,b=2$ and $c=3$ The given side lengths are sides of a right triangle if satisfies the Pythagorean Theorem. Use Pythagorean theorem is $c^2=a^2+b^2$ where $c$ is the length of the hypotenuse. Substitute the given values into the formula:. $(3)^2=(2)^2+(2)^2$ $9=4+4$ $9\ne8$ Hence, the three given lengths do not form a right triangle.
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