Inegalitate algebrica (sau geometrica)
Posted: Thu Oct 01, 2009 9:43 pm
Fie a,b c, numerere nenegative. Aratati ca :
\( \sqrt{a^2+b^2}+\sqrt{b^2+c^2}+\sqrt{c^2+a^2}\le a+b+c+\sqrt{a^2+b^2+c^2} \)
\( \sqrt{a^2+b^2}+\sqrt{b^2+c^2}+\sqrt{c^2+a^2}\le a+b+c+\sqrt{a^2+b^2+c^2} \)