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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