Solve ΔPQR, given that p = 11 cm, q = 14 cm, and ∠P = 42°. If there is more than one triangle possible for the measurements provided, sketch both triangles and solve them both. Be sure to show your work.
By the sine law:
sinQ/14 = sin42/11
sinQ = .85162..
∠Q = 58.39° or 121.61°
case1: ∠Q = 58.39 , the ∠R = 79.611, and
r/sin79.611 = 11/sin42
r = 11sin79.611/sin42 = 16.17
case2: ∠Q = 121.61 , the ∠R = 16.39, and
r/sin16.39 = 11/42
r = 11sin16.39/sin42 = 4.64
check my calculations