Trigonometry! #158

Geometry Level 3

In $$\Delta ABC$$, $$a:b:c=4:5:6$$. If $\frac{R}{r}=\frac{x}{y}$ where $$x$$ and $$y$$ are relatively prime integers, enter the value of $$x+y$$.

This problem is part of the set Trigonometry.

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