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


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
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.