Circumradius and inradius

Geometry Level 4

In a triangle \(\triangle ABC\), let \(R\) be the its circumradius and \(r\) be its inradius. We know that \(\overline{AB} \times \overline{AC} \times \overline{BC} = 4350\) and \(r \times R = \dfrac{145}{4}\). Then, find its perimeter and, if you can, find the relationship between the two radius and the three sides.

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