If the length of the three sides of a triangle satisfies geometric sequence, determine the range of their common ratio.

×
(0,\dfrac{1+\sqrt{5} }{2} )

×
(\dfrac{1+\sqrt{5} }{2} ,\infty )

✓
( \dfrac{1+\sqrt{5} }{2} ,\dfrac{1+\sqrt{5} }{2} )

×
(1,\dfrac{1+\sqrt{5} }{2} )