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Given (b+c)/(11) = (c+a)/(12) = (a+b)/(...

Given `(b+c)/(11) = (c+a)/(12) = (a+b)/(13)` for a `Delta ABC` with usual notation. If `(cos A)/(alpha) = (cos B)/(beta) = (cos C)/(gamma)`, then the ordered triad `(alpha, beta, gamma)` has a value:

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