Trigonometry 7th Edition

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

Chapter 1 - Test - Page 51: 6

Answer

Shortest side = 2.5 Side opposite 60° = 2.5$\sqrt 3$ $\approx 4.33$

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 = 5 Therefore Shortest side = $\frac{longest side}{2}$ = $\frac{5}{2}$ = 2.5 Side opposite 60° = $\sqrt 3\times $ shortest side = $\sqrt 3 \times$2.5 Side opposite 60° $\approx 4.33$ Answer- Shortest side = 2.5 Side opposite 60° = 2.5$\sqrt 3$ $\approx 4.33$
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