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Inegalitate in triunghi ascutitunghic

Posted: Wed May 06, 2009 10:46 am
by Mateescu Constantin
Fie \( \triangle ABC \) ascutitunghic si \( H \) ortocentrul sau.

Aratati ca: \( \sqrt{2}< \frac{AB+BC+CA}{AH+BH+CH}<2. \)

Posted: Thu May 07, 2009 7:43 pm
by Mateescu Constantin
Vezi rezolvarea aici.