MathDB

5

Part of 2013 Middle European Mathematical Olympiad

Problems(1)

Construct a triangle

Source: Middle European Mathematical Olympiad 2013 T-5

5/17/2014
Let ABCABC be and acute triangle. Construct a triangle PQRPQR such that AB=2PQ AB = 2PQ , BC=2QR BC = 2QR , CA=2RP CA = 2 RP , and the lines PQ,QR, PQ, QR, and RPRP pass through the points A,B, A, B , and C C , respectively. (All six points A,B,C,P,Q, A, B, C, P, Q, and R R are distinct.)
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