Dubla inegalitate in triunghi ascutitunghic

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Mateescu Constantin
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Dubla inegalitate in triunghi ascutitunghic

Post by Mateescu Constantin »

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
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