Inegalitate tare in triunghi

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opincariumihai
Thales
Posts: 134
Joined: Sat May 09, 2009 7:45 pm
Location: BRAD

Inegalitate tare in triunghi

Post by opincariumihai »

Aratati ca intr-un triunghi ascutitunghic are loc inegalitatea \( \frac{a^2+b^2+c^2}{4\sqrt{3}S}+1\geq2\cdot\frac{4R+r}{\sqrt{3}p \)
Mihai Opincariu G.M.B. 2008
P.S. As dori o solutie diferita de cea publicata in gazeta
opincariumihai
Thales
Posts: 134
Joined: Sat May 09, 2009 7:45 pm
Location: BRAD

Post by opincariumihai »

Inegalitatea este echivalenta cu inegalitatea de aici
opincariumihai
Thales
Posts: 134
Joined: Sat May 09, 2009 7:45 pm
Location: BRAD

Post by opincariumihai »

O solutie ca si in G.M.B. gasiti aici
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