Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Lesson Check - Page 616: 5


The student incorrectly substituted the given length of the hypotenuse (13) into the equation where the length of a leg should have been used. x=5

Work Step by Step

In the equation a2+b2=c2, a and b are the lengths of the two legs and c is the length of the hypotenuse. $a^2+b^2=c^2$⟶ substitute the given values $122+x^2=133$⟶ compute the squares $144+x^2=169$⟶ subtract 144 from each side $144+x^2−144=169−144$⟶ subtract $x^2=25$⟶ find the square root of each side $x=5$
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.