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: 21

Answer

not a right triangle

Work Step by Step

The triangle is right if its sidelengths satisfy the Pythagorean Theorem.formula $c^2=a^2+b^2$ where $c$ is the length of the hypotenuse (longeset side). The given sides are $a=4,b=5$ and $c=6$ Substitute all the values into the formula above to obtain: $(6)^2=(4)^2+(5)^2$ $36=16+25$ $36=41$ The two sides are not equal. Hence, the triangle is not a right triangle.
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