The three successive terms of a G.P. will form the sides of a triangle if the common ratio $r$ satisfies the inequality
(A) $\frac{\sqrt{3}-1}{2}<r<\frac{\sqrt{3}+1}{2}$
(B) $\frac{\sqrt{5}-1}{2}<r<\frac{\sqrt{5}+1}{2}$
(C) $\frac{\sqrt{2}-1}{2}<r<\frac{\sqrt{2}+1}{2}$
(D) None of these