Inegalitate G.M.2/2008

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BogdanCNFB
Thales
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Inegalitate G.M.2/2008

Post by BogdanCNFB »

Sa se arate ca in orice triunghi ABC are loc inegalitatea:
\( m_{a} \cdot m_{b} \cdot m_{c}\leq\frac{1}{36}\cdot(5p^{2}-3r^{2}-12Rr)\cdot sqrt{4p^{2}-3r^{2}-12Rr}. \)
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BogdanCNFB
Thales
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Joined: Wed May 07, 2008 4:29 pm
Location: Craiova

Post by BogdanCNFB »

Poate va ajuta faptul ca \( p^2\ge 3r^2+12Rr \).
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