Suppose that M ;N;P are three points lying respectively on the edges AB;BC;CA of a triangle ABC such that [tex]AM+BN+CP=MB+NC+PA[/tex]

Prove that [tex]S_{MNP} \leq \frac{1}{4}S_{ABC}[/tex]

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Suppose that M ;N;P are three points lying respectively on the edges AB;BC;CA of a triangle ABC such that [tex]AM+BN+CP=MB+NC+PA[/tex]

Prove that [tex]S_{MNP} \leq \frac{1}{4}S_{ABC}[/tex]

Prove that [tex]S_{MNP} \leq \frac{1}{4}S_{ABC}[/tex]

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