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IMO Shortlist 2006 problem A5
2006
alg
geo
shortlist
trokut
If
,
,
are the sides of a triangle, prove that
%V0 If $a$, $b$, $c$ are the sides of a triangle, prove that $$\sum_{\mbox{cyc}}\frac{\sqrt{a+b-c}}{\sqrt{a}+\sqrt{b}-\sqrt{c}}\leq 3$$
Slični zadaci
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Dva stupca
Zadaci
#
Naslov
Oznake
Rj.
Kvaliteta
Težina
2083
IMO Shortlist 2001 problem G5
2001
geo
shortlist
trokut
0
2084
IMO Shortlist 2001 problem G6
2001
geo
shortlist
trokut
1
2110
IMO Shortlist 2002 problem G5
2002
geo
shortlist
trokut
0
2130
IMO Shortlist 2003 problem C5
2003
alg
geo
komb
shortlist
sustav
trokut
2
2254
IMO Shortlist 2007 problem G6
2007
geo
shortlist
trokut
0
2310
IMO Shortlist 2009 problem G6
2009
geo
shortlist
trokut
1