Solve the triangle.

B = 72°, b = 12, c = 8

A. Cannot be solved

B. C = 39.3°, A = 68.7°, a ≈ 16.5

C. C = 39.3°, A = 68.7°, a ≈ 11.8

D. C = 44.5°, A = 63.7°, a ≈ 11.8

Solving the triangle.

B=72, b = 12, c = 8

Using the sine rule

b/sin B = c/sin C

thus; 12/sin 72 = 8/sin C

sin C = 8/12.618

C = 39.3

The sum of angles in a triangle add up to 180°

Therefore, A + B+C=180

A = 180 - (72+39.25)

= 68.7

Using the sine rule

a/sin A = b/sin b

therefore; a/sin 68.7 = 12/sin 72

a = (sin 68.7) * 12/sin 72

= (sin 68.7) * 12.618

= 11.756

≈ 11.8