The measures of two sides of a triangle and the angle opposite one of them are given. Solve all possible triangles if any. Please show your solutions.

Question

c = 9.04, a = 3.52, γ = 128.1°

Answer 1

By Sine Law sinγ/c = sinα/a; sinα = asinγ/c = 3.52sin128.1°/9.04; α = sin^-1(3.52sin128.1°/9.04) = 17.8°;

β = 180° - (128.1° + 17.8°) = 34.1°; b/sinβ = c/sinγ; b = csinβ/sinγ = 9.04sin34.1°/sin128.1° = 6.44.

We have only 1 triangle