Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 5 - Section 5.4 - The Pythagorean Theorem - Exercises - Page 241: 25

Answer

other diagonal = $2\sqrt 63$

Work Step by Step

As we know the diagonals of a rhombus equally divides each other at 90°. So one side is the hypotenuse of the right triangle formed by the diagonals of the rhombus. now let other diagonal is 2x. then the sides of the right triangle is x and 9. by Pythagoras theorem $12^{2}=9^{2}+x^{2}$ $144=81+x^{2}$ $x^{2}=63$ $x=\sqrt 63$ other diagonal = $2\sqrt 63$
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.