Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set: 49

Answer

The longest side is 2. the side opposite 60° is $\sqrt 3$.

Work Step by Step

The longest side of a 30°–60°–90° triangle is twice the shortest side and the side opposite the 60° angle is $\sqrt 3$ times the shortest side. Given that Shortest side = 1 Therefore Longest side = 2 $\times $ shortest side = 2$\times$1 = 2 Side opposite 60° = $\sqrt 3\times $ shortest side = $\sqrt 3 \times$1 = $\sqrt 3$
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