\( A B C \) is a triangle inscribed in a circle, \( A C \) being the diameter of the circle. The...

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\( A B C \) is a triangle inscribed in a circle, \( A C \) being the diameter of the circle. The length of \( A C \) is as much more than the length of \( B C \) as the length of \( B C \) is more than the length of \( A B \). Find \( A C \) : \( A B \).
(a) \( 5: 3 \)
(b) \( 5: 4 \)
(c) \( 6: 5 \)
(d) \( 3: 2 \)
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