# RPS #010 - Celebrating 500 Problems Solved

Geometry Level 3

In triangle $$ABC$$, let $$AD$$, $$BE$$ and $$CF$$ be its medians, and $$Z$$ as its centroid. If $$[ABC]$$ defines the area of triangle $$ABC$$, find the value of $\frac{[ABZ] + [BCZ] + [CAZ]}{[DEF]}$

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