kms - fórum o príkladoch

14. príklad 3. zimnej série 2010/2011

Zadanie:
Nech $O$ je bod vnútri trojuholníka $ABC$ taký, že uhly $AOB$ , $BOC$ a $COA$ majú rovnakú veľkosť. Dokážte, že platí

$\frac{|AO|^2}{|BC|}+\frac{|BO|^2}{|CA|}+\frac{|CO|^2}{|AB|}\ge \frac{|AO|+|BO|+|CO|}{\sqrt{3}}\cdot$

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APWZ8JPr <66o5654pg6t~gmail~com> - 03. 03. 2014 - 15:30:57 z 202.59.34.141

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3B15wYCAtO5h <patricio~bbcr~com~br> - 05. 11. 2013 - 19:10:18 z 188.143.232.12

Taking the overwiev, this post is first class

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