Solve the triangle.
-$$B = 72 ^ { \circ } , b = 12 , c = 10$$
A) $\mathrm { C } = 52.4 ^ { \circ } , \mathrm { A } = 55.6 ^ { \circ } , \mathrm { a } \approx 10.4$
B) Cannot be solved
C) $\mathrm { C } = 57.6 ^ { \circ } , \mathrm { A } = 50.6 ^ { \circ } , \mathrm { a } \approx 10.4$
D) $\mathrm { C } = 52.4 ^ { \circ } , \mathrm { A } = 55.6 ^ { \circ } , \mathrm { a } \approx 14.6$

Question

Quizplus · Accepted Answer

Using the Law of Sines, we can find angle C by applying $\frac{\sin B}{b} = \frac{\sin C}{c}$. After finding angle C, angle A can be determined by subtracting the sum of angles B and C from 180°. Finally, side a can be found using the Law of Sines again. The calculations match option A.

Solve the Triangle B=72∘,b=12,c=10B = 72 ^ { \circ } , b = 12 , c = 10B=72∘,b=12,c=10

Solve the Triangle $B = 72 ^ { \circ } , b = 12 , c = 10$