Use the Law of Sines to solve for all possible triangle

Question

Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place.)

a = 22,    b = 12,    ∠A = 116°

Answer 1

sin116° / 22 = sinB / 12

12sin116° = 22sinB

sinB = 0.49025 So, ∠B = Sin^-1(0.49025) = 29.4°

∠C = 180° - 116° - 29.4° = 34.6°

sin34.6° / c = sin116° / 22 Solve for c.