Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 7 - Applications of Trigonometry and Vectors - Section 7.1 Oblique Triangles and the Law of Sines - 7.1 Exercises - Page 301: 8

Answer

Sufficient information

Work Step by Step

Let $m\angle A , m\angle B$ and the side $ a$ known in measure. Then $m\angle C=180-(m\angle A+m\angle B)$ By the Law of Sines: $\frac{a}{ \sin\angle A}=\frac{b}{ \sin\angle B}=\frac{c}{\sin \angle C}$ $b=\frac{a \sin\angle B}{\sin \angle A}$ $c=\frac{a \sin\angle C}{\sin \angle A}$ So there is sufficient information to solve the triangle.
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