Triunghiuri de laturi unitate intr-un n-gon

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Filip Chindea
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Triunghiuri de laturi unitate intr-un n-gon

Post by Filip Chindea »

Numim bun un triunghi echilateral cu latura de lungime unitate avand varfurile printre cele ale unui \( n \)-gon convex dat \( P \). Sa se arate ca exista cel mult \( 2n/3 \) triunghiuri bune.

[ IMO Shortlist 2007, C8 ]
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