Inegalitate cu laturi de triunghi
Posted: Tue May 12, 2009 7:13 am
Fie \( a,\ b,\ c \) lungimile laturilor unui triunghi, \( a\neq b\neq c\neq a \).
Aratati ca \( \left| \frac{a}{a-b}+\frac{b}{b-c}+\frac{c}{c-a}\right| \>\sqrt{6}-1. \)
Aratati ca \( \left| \frac{a}{a-b}+\frac{b}{b-c}+\frac{c}{c-a}\right| \>\sqrt{6}-1. \)