Dubla inegalitate in triunghi ascutitunghic
Posted: Thu Nov 19, 2009 10:19 am
Sa se demonstreze ca intr-un triunghi ascutitunghic avem:
\( \frac 18\sin A\sin B\sin C\ \le\ \frac{m_am_bm_c}{(a+b)(b+c)(c+a)}\ \le\ \frac{1}{64}\cot\frac A2\cot\frac B2\cot\frac C2 \) .
I. V. Maftei
\( \frac 18\sin A\sin B\sin C\ \le\ \frac{m_am_bm_c}{(a+b)(b+c)(c+a)}\ \le\ \frac{1}{64}\cot\frac A2\cot\frac B2\cot\frac C2 \) .
I. V. Maftei