Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
-C = 113.6° a = 7.5 m
B = 9.6 m
A)c = 14.4 m, A = 28.4°, B = 38°
B)c = 17.3 m, A = 30.4°, B = 36°
C)No triangle satisfies the given conditions.
D)c = 20.2 m, A = 26.4°, B = 40°

Question

Quizplus · Accepted Answer

The Law of Sines can be used to solve for the missing parts of the triangle.$$\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}$$$$\frac{7.5}{\sin 28.4} = \frac{9.6}{\sin 38} = \frac{c}{\sin 113.6}$$$$c = 14.4$$

Find the Missing Parts of the Triangle