(1)2cos(A+B)=1 cos(A+B)=1/2 A+B=60° 角C=180°-(A+B)=120°
(2) cosC =a^2+b^2-c^2/(2ab)=[(a+b)^2-2ab-c^2]/2ab=[12-4-c^2]/4=-1/2 c^2=12-4-2=6
AB =c=根号6
(3) S=absinC/2=2sinC/2=sinC=根号3/2
(1)2cos(A+B)=1 cos(A+B)=1/2 A+B=60° 角C=180°-(A+B)=120°
(2) cosC =a^2+b^2-c^2/(2ab)=[(a+b)^2-2ab-c^2]/2ab=[12-4-c^2]/4=-1/2 c^2=12-4-2=6
AB =c=根号6
(3) S=absinC/2=2sinC/2=sinC=根号3/2