Geometry: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281159
ISBN 13: 978-0-13328-115-6

Chapter 8 - Right Triangles and Trigonometry - 8-1 The Pythagorean Theorem and It's Converse - Got It?: 1

Answer

26 Yes, the sides 10, 24 and 26 are whole numbers that satisfy the Pythagorean Theorem.

Work Step by Step

The Pythagorean Theorem says that $(leg_{1}) ^{2}$+$(leg_{2})^{2}$=$hypotenuse^{2}$. This formula is more commonly referred to as $a^{2}$+$b^{2}$=$c^{2}$ You are given the lengths of the legs as 10 and 24. Substitute these values in for a and b. $a^{2}$+$b^{2}$=$c^{2}$ $10^{2}$+$24^{2}$=$c^{2}$ 100+576=$c^{2}$ 676=$c^{2}$ Take the square root of both sides to find the hypotenuse. 26=c
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