Algebra 1

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

Chapter 10 - Radical Expressions and Equations - 10-1 The Pythagorean Theorem - Practice and Problem-Solving Exercises: 22

Answer

17 ft

Work Step by Step

Since the diagonal forms a right triangle with the sides of the board, the Pythagorean theorem can be used to find the length of the diagonal. Substitute the length and width for the lengths of the legs and solve for the hypotenuse. $8^2+15^2=d^2 \longrightarrow$ find the squares $64+225=d^2 \longrightarrow$ add $289=d^2 \longrightarrow$ find the square root of each side $\sqrt {289}=\sqrt {d^2} \longrightarrow$ simplify $17=d$
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.