IMO Shortlist 1978 problem 2


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2. travnja 2012.
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Two identically oriented equilateral triangles, ABC with center S and A'B'C, are given in the plane. We also have A'  \neq  S and B' \neq S. If M is the midpoint of A'B and N the midpoint of AB', prove that the triangles SB'M and SA'N are similar.
Izvor: Međunarodna matematička olimpijada, shortlist 1978