(Ⅰ)2asinB=(√3)b,得a/(√3/2)=b/sinB
因为a/sinA=b/sinB,所以sinA=√3/2,A=π/3
(Ⅱ)b+c=8,得b²+2bc+c²=64
又因为b²+c²-a²=2bccosA
联立解得64-2bc-36=2bccosπ/3,bc=28/3
△ABC的面积=bcsinA/2=7√3/3
(Ⅰ)2asinB=(√3)b,得a/(√3/2)=b/sinB
因为a/sinA=b/sinB,所以sinA=√3/2,A=π/3
(Ⅱ)b+c=8,得b²+2bc+c²=64
又因为b²+c²-a²=2bccosA
联立解得64-2bc-36=2bccosπ/3,bc=28/3
△ABC的面积=bcsinA/2=7√3/3