# Given Ratio, Find Sum

Geometry Level 4

For a triangle $$ABC$$ , it is given that $$\dfrac{[\triangle ABC]}{R}=4$$.

Find $$a\cos A+b\cos B+c\cos C$$.

Note : $$R$$ is circumradius of triangle $$ABC$$ and $$[\triangle ABC]$$ is the area of triangle $$ABC$$.

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