Trigonometry (10th Edition)

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: 78b

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: $L^2 = k^2+k^2$ $L = \sqrt{k^2+k^2}$ $L = \sqrt{2k^2}$ $L = \sqrt{2}~k$
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