Use the Law of Cosines to solve the triangle Round your answ

Use the Law of Cosines to solve the triangle. (Round your answers to tow decimal places.) C = 104degree, a = 13, b = 4 A = B = c =

Solution

law of cosines

c²=a²+b²-2abcosC

c²=13²+4²-2*13*4cos104^o

c²=210.159877

c=14.50

cosA=(b²+c²-a²)/(2bc)

cosA=(4²+14.5²-13²)/(2*4*14.5)

cosA=0.49286

A=60.47^o

cosB=(a²+c²-b²)/(2ac)

cosB=(13²+14.5²-4²)/(2*13*14.5)

cosB=0.963495

B=15.53^o