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Construct triangle A'B'C'

Source:

September 24, 2010
geometryconstruction3D geometryconcurrencyIMO Shortlist

Problem Statement

If an acute-angled triangle ABCABC is given, construct an equilateral triangle A′B′C′A'B'C' in space such that lines AA′,BB′,CC′AA',BB', CC' pass through a given point.
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