Inegalitate cu un punct in interiorul triunghiului

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opincariumihai
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Inegalitate cu un punct in interiorul triunghiului

Post by opincariumihai »

Daca \( M \) este un punct in interiorul triunghiului \( ABC \) , aratati ca \( \frac{MA}{BC^2}+\frac{MB}{AC^2}+\frac{MC}{AB^2}\geq\frac{1}{R} \)
A.M.M. 2010
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Mateescu Constantin
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Post by Mateescu Constantin »

Vezi aici .
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Cezar Lupu
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Post by Cezar Lupu »

Cand a aparut problema asta in AMM anul acesta?
An infinite number of mathematicians walk into a bar. The first one orders a beer. The second orders half a beer. The third, a quarter of a beer. The bartender says “You’re all idiots”, and pours two beers.
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