m*n=sinAcosB+cosAsinB=sin(A+B)=sin(π-C)=sinC
sinC=sin2C cosC=1/2 C=60
sinA+sinB=2sinC
a+b=2c
CA(AB-AC)=18,CA·CB=18,
∴|CA||CB|cosπ/3=18,ab=36 (2)
c^2=a^2+b^2-ab (3)
c=6
m*n=sinAcosB+cosAsinB=sin(A+B)=sin(π-C)=sinC
sinC=sin2C cosC=1/2 C=60
sinA+sinB=2sinC
a+b=2c
CA(AB-AC)=18,CA·CB=18,
∴|CA||CB|cosπ/3=18,ab=36 (2)
c^2=a^2+b^2-ab (3)
c=6