因此,a+c=b(sinA+sinC)/sinB
=(sinA+sinC)/sinB
因为2B=A+C,A+B+C=180°
B=60°
A+C=120°
由于sinA+sinC=sinA+sin(120°-A)
=sinA+(√3/2)cosA+(1/2)sinA
=(3/2)sinA+(√3/2)cosA
=√[(3/2)^2+(√3/2)^2]sin{A+arctan[(√3/2)/(3/2)]}
=√3sin[A+arctan(√3/3)]
=√3sin(A+30°)
所以a+c=√3sin(A+30°)/sin60°=2sin(A+30°)
因为0°所以30°所以(1/2)