Solve triangle ABC if ∠A=39.4 °, a=186.2, and b = 246.3. sinB=_____

Answer 1

sin A = sin B

------- -------

a b

sin 39.4 sin B

----------- = --------

186.2 246.3

sin B = sin 39.4 * 246.3 / 186.2

sin B = 0.84

B = 57.1

C = 180 - 39.4 - 57.1 = 83.5

sin 39.4 sin 83.5

----------- = ----------

186.2 c

c * sin 39.4 = sin 83.5 * 186.2

c = sin 83.5 * 186.2/sin 39.4 = 291.5