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OPM 2000 Problem 5

  • Final day 2

In the figure, [ABC][ABC] and [DEC][DEC] are right triangles . Knowing that EB=1/2,EC=1EB = 1/2, EC = 1 and AD=1AD = 1 , calculate DCDC . Image

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2000 official paper, page 1.

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