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: 50

Answer

The longest side is 2 the side opposite 60° is 3$\sqrt 3$ or 5.196

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 = 3 Therefore Longest side = 2 $\times $ shortest side = 2$\times$3 = 6 Side opposite 60° = $\sqrt 3\times $ shortest side = $\sqrt 3 \times$3 = 3$\sqrt 3$ Side opposite 60° $\approx 5.196$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.