b^2=ac
a^2-c^2=ac-bc=b^2-bc
a^2=b^2+c^2-bc
又a^2=b^2+c^2-2*cosA*bc
cosA=1/2
A=60
b/c=a/b
(bsinB)/c=sinB*a/b
又sinA/a=sinB/b
(bsinB)/c=sinA=1/2*√3