In in any \( \triangle A B C, \frac{b+c}{12}=\frac{c+a}{13}=\frac{a+b}{15} \), then prove that \...

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In in any \( \triangle A B C, \frac{b+c}{12}=\frac{c+a}{13}=\frac{a+b}{15} \), then prove that \( \frac{\cos A}{2}=\frac{\cos B}{7}=\frac{\cos C}{11} \).
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