Question

for triangle ABC find the measure of line a b given measurement of angle a is 55 measurement of angle B is 44 and b equals 68

Answer 1

Use the Law of Sines:
 
  sin B              sin 81         sin 44
 ----------       = ----------- = --------------
  side AC            68            side AB

Then (side AB)(sin 81) = 68(sin 44), or


                                 68 sin 44          
 side AB =        ----------------------- =  47.83 units long
                                    sin 81