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International Contests
Baltic Way
2009 Baltic Way
14
14
Part of
2009 Baltic Way
Problems
(1)
n paiwise non-similar triangles
Source: Baltic Way 2009
11/27/2010
For which
n
≥
2
n\ge 2
n
≥
2
is it possible to find
n
n
n
pairwise non-similar triangles
A
1
,
A
2
,
…
,
A
n
A_1, A_2,\ldots , A_n
A
1
,
A
2
,
…
,
A
n
such that each of them can be divided into
n
n
n
pairwise non-similar triangles, each of them similar to one of
A
1
,
A
2
,
…
,
A
n
A_1,A_2 ,\ldots ,A_n
A
1
,
A
2
,
…
,
A
n
?
geometry
similar triangles
geometry proposed