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Triunghi in conditia a^2+b^2+c^2=4

 
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Mateescu Constantin
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Joined: 21 Apr 2009
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PostPosted: Sat Jan 23, 2010 8:03 pm    Post subject: Triunghi in conditia a^2+b^2+c^2=4 Reply with quote
Daca a, b, c sunt lungimile laturilor unui triunghi ABC iar R este raza cercului circumscris

si S aria, sa se arate ca in ipoteza a^2+b^2+c^2=4 avem 6R^2+S^2\ge 3.
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alex2008
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Joined: 19 Oct 2008
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PostPosted: Mon Feb 08, 2010 8:02 pm    Post subject: Reply with quote
http://www.mathlinks.ro/viewtopic.php?t=327662
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