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