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 two decimal places.

C = 15° 15\',  a = 7.75,  b = 2.65

c=

A=

B=

Solution

given C = 15° 15\',  a = 7.75,  b = 2.65

by law of cosines c² =a² +b² -2ab cosC

c² =7.75² +2.65² -2*7.75*2.65 cos15^o15\'

c² =27.45636

c=5.24

cosA=(b²+c²-a²)/(2bc)

cosA=(2.65²+5.24²-7.75²)/(2*2.65*5.24)

cosA=-0.921158

A=157.10

cosB=(a²+c²-b²)/(2ac)

cosB=(7.75²+5.24²-2.65²)/(2*7.75*5.24)

cosB=0.991105639

B=7.65