SHARYGIN 2013 Problem 12
On each side of triangle , two distinct points are marked. It is known that these points are the feet of the altitudes and of the bisectors.
a) Using only a ruler determine which points are the feet of the altitudes and which points are the feet of the bisectors.
b) Solve p.a) drawing only three lines.
Dataset text AI-MO AoPS. Quoted with source.
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