Use the Law of Sines to Solve, if Possible, the Triangle or Triangles in the Ambiguous Case
-$$\mathrm { B } = 45 ^ { \circ } , \mathrm { b } = 4 , \mathrm { a } = 34$$
A) no triangle
B) $\mathrm { A } = 41 ^ { \circ } , \mathrm { C } = 93 ^ { \circ } , \mathrm { c } = 35$
C) $\mathrm { A } = 43 ^ { \circ } , \mathrm { C } = 91 ^ { \circ } , \mathrm { c } = 38$
D) $\mathrm { A } = 44 ^ { \circ } , \mathrm { C } = 92 ^ { \circ } , \mathrm { C } = 39.5$

Question

Quizplus · Accepted Answer

Given the sides and angle, the Law of Sines cannot produce a valid triangle due to the large discrepancy in side lengths relative to the given angle, indicating no triangle can be formed.

Use the Law of Sines to Solve, If Possible, the Triangle