9514 1404 393
Answer:
c ≈ 14.9 cm
Explanation:
I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...
C = 180° -150° -12° = 18°
Then the law of sines tells us ...
c/sin(C) = b/sin(B)
c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)
c ≈ 14.9 cm