Solve the triangle Round the lengths of sides to the nearest

Solve the triangle. Round the lengths of sides to the nearest tenth and angles to the nearest degree. c (Type an integer or decimal rounded to the nearest tenth as needed.) A (Round to the nearest degree as needed.) B (Round to the nearest degree as needed.)

Solution

law of cosines:

c² =a² +b² -2abcosC

c² =6² +4² -2*6*4cos96^o

c =7.55 =7.6

law of sines :

a/sinA=c/sinC

6/sinA =7.55/sin96^o

sinA=(6/7.55)sin96^o

A=52.2=52^o

b/sinB=c/sinC

4/sinB =7.55/sin96^o

sinB =(4/7.55)sin96^o

B =31.8=32^o