sinA=根号(1-(cosA)^2)=3/5
sinC=sin(pi-A-B)=sin(A+B)=sinAcosB+cosAsinB=3/5*1/2+4/5*(根号3/2)=(3+4*根号3)/10
由b/sinB=c/sinC 得c=sinC*b/sinB
故S=1/2*b*c*sinA=(36+9*根号3)/50
sinA=根号(1-(cosA)^2)=3/5
sinC=sin(pi-A-B)=sin(A+B)=sinAcosB+cosAsinB=3/5*1/2+4/5*(根号3/2)=(3+4*根号3)/10
由b/sinB=c/sinC 得c=sinC*b/sinB
故S=1/2*b*c*sinA=(36+9*根号3)/50