Inegalitate cu laturi de triunghi
Posted: Mon Jun 08, 2009 9:58 am
Aratati ca in orice triunghi cu lungimile laturilor \( a,\ b,\ c \) are loc inegalitatea:
\( \frac{b+c}{a}+\frac{c+a}{b}+\frac{a+b}{c}+\frac{(b+c-a)(c+a-b)(a+b-c)}{abc}\ge 7. \)
Cezar Lupu, M.R. 3/2009
\( \frac{b+c}{a}+\frac{c+a}{b}+\frac{a+b}{c}+\frac{(b+c-a)(c+a-b)(a+b-c)}{abc}\ge 7. \)
Cezar Lupu, M.R. 3/2009