College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.3 - Geometry Essentials - R.3 Assess Your Understanding - Page 36: 24

Answer

The triangle is a right triangle with a hypotenuse of $26$ units.

Work Step by Step

A right triangle has three sides that satisfy the equation $c^2=a^2+b^2$ where $c$ is the longest side (hypotenuse) and $a$ and $b$ are the two other sides. Substitute the given lengths of sides to the equation above to obtain: $c^2=a^2+b^2 \\26^2=10^2+24^2 \\676=100+576 \\676=676$ The triangle's side lengths satisfy the equation; therefore the triangle is a right triangle with a hypotenuse of $26$ units.
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.