In the diagram, what is the perimeter of triangle PQR?
Using the Law of Sines (twice)
PR / sin 150 = 6 / sin 20
PR = 6 sin 150 / sin 20 ≈ 8.77
Angle PRQ = 10°
PQ /sin 10 = 6 / sin 20
PQ = 6sin 10 / sin 20 ≈ 3.046
Perimeter = 6 + 8.77 + 3.046 ≈ 17.816
