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 - Page 12: 51

Answer

Shortest side = 4 Side opposite 60° = 4$\sqrt 3$ $\approx 6.928$

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 Longest side = 8 Therefore Shortest side = $\frac{longest side}{2}$ = $\frac{8}{2}$ = 4 Side opposite 60° = $\sqrt 3\times $ shortest side = $\sqrt 3 \times$4 = 4$\sqrt 3$ Side opposite 60° $\approx 6.928$
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