根据正弦定理,a/sinA=c/sinCa/sinA=c/sin2Aa/sinA=c/2sinAcosAa=c/2cosA=c/(2*3/4)=2c/3因为a+c=5,所以2c/3+c=5,c=3,a=2根据余弦定理,a^2=b^2+c^2-2bc*cosA4=b^2+9-6b*3/42b^2-9b+10=0(2b-5)(b-2)=0b=5/2或2