RU-ALLRUSSIAN 1984 Problem 3
ABC and A'B'C' are equilateral triangles and ABC and A'B'C' have the same sense (both clockwise or both counter- clockwise). Take an arbitrary point O and points P, Q, R so that OP is equal and parallel to AA', OQ is equal and parallel to BB', and OR is equal and parallel to CC'. Show that PQR is equilateral.
Dataset text NuminaMath olympiads. Quoted with source.
Solutions
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