Inegalitate G.M.2/2008
Posted: Sun May 11, 2008 1:07 pm
Sa se arate ca in orice triunghi ABC are loc inegalitatea:
\( m_{a} \cdot m_{b} \cdot m_{c}\leq\frac{1}{36}\cdot(5p^{2}-3r^{2}-12Rr)\cdot sqrt{4p^{2}-3r^{2}-12Rr}. \)
\( m_{a} \cdot m_{b} \cdot m_{c}\leq\frac{1}{36}\cdot(5p^{2}-3r^{2}-12Rr)\cdot sqrt{4p^{2}-3r^{2}-12Rr}. \)