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 - Page 53: 79b

Answer

The length of the sides opposite the $30^{\circ}$ angles is $k$

Work Step by Step

The perpendicular line from $A$ intersects the midpoint of the opposite side. Therefore, the length of the sides opposite the $30^{\circ}$ angles is $\frac{2k}{2} = k$.
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