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If the angles A,B and C of a triangle AB...

If the angles `A,B` and `C` of a triangle `ABC` are in an `A.P` with a positive common difference such that the smallest angle is one third of the largest angle, and the sides `a, b` and `c` are the sides opposite to the angles `A ,B` and `C` such that `(a)/(sin A)=(b)/(sin B)=(c)/(sin C)` then the ratio of the longest side to that of the shortest side will be

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