Nađi najmanji
tako da za sve trokute
vrijedi
.
Find the smallest
such that for every triangle
the inequality
holds.
[lang=hr]
Nađi najmanji $\alpha$ tako da za sve trokute $ABC$ vrijedi $a^2 + b^2 + c^2 \leq \alpha (ab + bc +ca)$.
[/lang]
[lang=en]
Find the smallest $\alpha$ such that for every triangle $ABC$ the inequality $a^{2}+b^{2}+c^{2} \le\alpha(ab+bc+ca) $ holds.
[/lang]
