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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