Sides of a triangle \( A B C ; a, b, c \) are in G.P. If \( r \) be the common ratio of this o...

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Sides of a triangle \( A B C ; a, b, c \) are in G.P. If \( r \) be the common ratio of this of this G.P., then
(a) \( r \in\left(\frac{\sqrt{5}-1}{2}, \infty\right) \)
(b) \( r \in\left(\frac{\sqrt{5}+1}{2}, \infty\right) \)
(c) \( r \in\left(\frac{\sqrt{5}-1}{2}, \frac{\sqrt{5}+1}{2}\right) \)
(d) \( r \in\left(\frac{\sqrt{5}+1}{2}, \frac{\sqrt{5}+3}{2}\right) \)
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