# Nasty Triangles 4

Geometry Level 1

In the diagram above, line $$l$$ passes through the centroid of $$\triangle ABC.$$

If the perpendicular distance between $$A$$ and line $$l$$ is 2, and the perpendicular distance between $$B$$ and line $$l$$ is 6, then what is the perpendicular distance between $$C$$ and line $$l?$$

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