RU-ALLRUSSIAN 1988 Problem 12
- Answer
In the triangle ABC, the angle C is obtuse and D is a fixed point on the side BC, different from B and C. For any point M on the side BC, different from D, the ray AM intersects the circumcircle S of ABC at N. The circle through M, D and N meets S again at P, different from N. Find the location of the point M which minimises MP.
Dataset text NuminaMath olympiads. Quoted with source.
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M \text{ is the foot of the perpendicular from } P \text{ to } BC
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