Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.2 Geometry Essentials - A.2 Assess Your Understanding - Page A19: 18


the triangle is a right triangle with the hypotenuse $c=10$.

Work Step by Step

For a right triangle with legs $a$, $b$ and the hypotenuse $c$, the Pythagorean theorem states that: $$c^2=a^2+b^2.$$ We plug in the side lengths to check if the triangle is right: $$ \sqrt{6^2+8^2}=\sqrt{100}=10 .$$ This statement is true, so the triangle is right with $c=10$.
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