Answer
The length of the diagonal is $L = \sqrt{2}~k$
Work Step by Step
We can use the Pythagorean theorem to find the length $L$ of the diagonal:
$L^2 = k^2+k^2$
$L = \sqrt{k^2+k^2}$
$L = \sqrt{2k^2}$
$L = \sqrt{2}~k$
Trigonometry (10th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671775
ISBN 13:
978-0-32167-177-6
Chapter 2 - Acute Angles and Right Triangles - Section 2.1 Trigonometric Functions of Acute Angles - 2.1 Exercises - Page 53: 78b
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