B=60
sinB=√3/2,cosB=1/2
b=AC=3√6
又cosC=1/3 则sinC=2√2/3
由正弦定理,b/sinB=c/sinC
则c=8
则面积=1/2bcsinA=1/2bcsin(180-(B+C))=1/2bcsin(B+C)
=1/2bc(sinBcosC+cosBsinC)=2√6*(√3+2√2)
B=60
sinB=√3/2,cosB=1/2
b=AC=3√6
又cosC=1/3 则sinC=2√2/3
由正弦定理,b/sinB=c/sinC
则c=8
则面积=1/2bcsinA=1/2bcsin(180-(B+C))=1/2bcsin(B+C)
=1/2bc(sinBcosC+cosBsinC)=2√6*(√3+2√2)