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RU-ALLRUSSIAN 1987 Problem 14

  • Answer

AB is a chord of the circle center O. P is a point outside the circle and C is a point on the chord. The angle bisector of APC is perpendicular to AB and a distance d from O. Show that BC = 2d.

Dataset text NuminaMath olympiads. Quoted with source.

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BC = 2d

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