College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.3 - Geometry Essentials - R.3 Assess Your Understanding: 8

Answer

True

Work Step by Step

RECALL: If the sides of a triangle satisfies $c^2=a^2+b^2$ (from the Pythagorean Theorem) where c is the hypotenuse (the longest side) and a and b are the two other sides, then the triangle is a right triangle. Substitute the given side-lengths with c = 10 to obtain: $10^2 = 6^2+8^2 \\100=36 + 64 \\100=100$ Thus, the triangle whose sides are 6, 8, and 10 is a right triangle. Therefore, the given statement is true.
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