# Pre-RMO Question!

Geometry Level 4

Let $$AD$$ be an altitude in a right triangle $$ABC$$ with $$\angle A$$ $$= 90^\circ$$ and $$D$$ on $$BC.$$ Suppose that the radii of the incircles of the triangles $$ABD$$ and $$ACD$$ are $$33$$ and $$56$$ respectively. Let $$r$$ be the radius of the incircle of triangle $$ABC.$$ Find the value of $$3(r + 7).$$

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