Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 10 - Radical Expressions and Equations - Mid-Chapter Quiz: 5

Answer

b=48

Work Step by Step

Use the Pythagorean Theorem to find the missing length. $a^2+b^2=c^2\longrightarrow$ substitute the given values $14^2+b^2=50^2\longrightarrow$ simplify exponents $196+b^2=2500\longrightarrow$ subtract 196 from each side $196+b^2-196=2500-196\longrightarrow$ subtract $b^2=2304\longrightarrow$ find the square root of each side $\sqrt{b^2}=\sqrt{2304}\longrightarrow$ simplify $b=48$
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.