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In a triangle $A B C$ with usual notations, If $a: b: c=7: 8: 9$ : then $\cos A: \cos B: \cos C=$
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The correct answer is:
14:11:6
Let $a=7 k, b=8 k, c=9 k$
Using cosine rule $\cos A=\frac{2}{3}, \cos B=\frac{11}{21}, \cos C=\frac{2}{7}$
$Rightarrow \cos A: \cos B: \cos C=14: 11: 6$
Using cosine rule $\cos A=\frac{2}{3}, \cos B=\frac{11}{21}, \cos C=\frac{2}{7}$
$Rightarrow \cos A: \cos B: \cos C=14: 11: 6$
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