Use the Law of Sines to solve the triangle Round your answer

Use the Law of Sines to solve the triangle. (Round your answers to two decimal places.)

A = 78°, a = 36, b = 26

B =

C =

c =

Solution

A = 78 degrees

a = 36

b = 26

applying law of sines

a / sin A = b / sin B = c / sin C

36 / sin 78 = 26 / sin B

36.80 = 26 / sin B

sin B = .7065

B = 44.95 degrees

C = 180 - ( 78 + 44.95 ) = 57.04 degrees

36.80 = c / sin 57.04

c = 30.87