Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 13, Trigonometric Ratios and Functions - 13.5 Apply the Law of Sines - 13.5 Exercises - Skill Practice - Page 886: 19


See below.

Work Step by Step

$B=180-26-35=119^\circ$. Using the law of sines, $\frac{a}{\sin26^\circ}=\frac{13}{\sin119^\circ}\\b=\frac{13\sin26^\circ}{\sin119^\circ}\approx6.52$ $\frac{c}{\sin35^\circ}=\frac{13}{\sin119^\circ}\\c=\frac{13\sin35^\circ}{\sin119^\circ}\approx8.53$
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