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OPM 1999 Problem 3

  • Final day 1

If two parallel chords of a circumference, 1010 mm and 1414 mm long, with distance 66 mm from each other, how long is the chord equidistant from these two?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 1999 official paper, page 1.

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