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3

Part of 1995 Spain Mathematical Olympiad

Problems(1)

Spanish Mathematical Olympiad 1995 Day 1 Problem 3

Source:

1/20/2013
A line through the centroid G of the triangle ABC intersects the side AB at P and the side AC at Q Show that PBPA⋅QCQA≤14\frac{PB}{PA} \cdot \frac{QC}{QA} \leq \frac{1}{4}.
Sorry for Triple-Posting. If possible, please merge the solutions to one document.
I think there was an error because it may have automatically triple-posted.
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