# Do you know this property?

Geometry Level 4

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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