Do you know this property?

Geometry Level 3

Consider triangle \(ABC\). The equation of side \(BC\) is \(y=x\). The centroid of triangle is \( (8,3) \) and circumcentre is \( (9,3) \). If circumradius of triangle is \(R\), then find the value of \( \dfrac{ R }{ \sqrt{ 5 } } \).

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