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: 6

Answer

True

Work Step by Step

True. We can check if the triangle is a right triangle by using the Pythagorean theorem, which states: For a right triangle with legs a, b and the hypotenuse c, we have $$c^2=a^2+b^2$$ We plug in the given values: $$10^2=100= 36+64=6^2+8^2$$ Which is a true statement. Thus, by the Pythagorean theorem, the triangle is right.
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