Elementary Geometry for College Students (7th Edition) Clone

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 10 - Section 10.4 - Analytic Proofs - Exercises - Page 472: 1

Answer

The diagonals have an equal length when the figure is a rectangle.

Work Step by Step

We place the rectangle at the origin, giving it length a for its short sides and length b for its long sides. Using the Pythagorean theorem, we obtain: $(d_1)^2 = a^2 + b^2 \\ (d_2) ^2 = a^2 +b^2$ Combining these gives: $(d_1)^2 = (d_2)^2 \\ d_1 = d_2$ Hence, the diagonals are equal in length.
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.