Question

Given that A=84, B=66 and a=13 solve triangle ABC. Round to the nearest hundredth.

Answer 1

Using the sine rule
b / sin B =  a / sin A so:-

b / sin 66 = 13 / sin 84th

Angle C = 180 - (66+84) =  30 degrees

c / sin 30 = 13/sin84

c = (13*sin 30) / sin 84  =  6.54 to nearest 1/100th

That s it.