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divide a triangle in n triangles with n parallel bisectors, one in each

Source: Rioplatense Olympiad 2012 level 3 P3

September 4, 2018
geometrycombinatorial geometryangle bisectorparallel

Problem Statement

Let TT be a non-isosceles triangle and n≥4n \ge 4 an integer . Prove that you can divide TT in nn triangles and draw in each of them an inner bisector so that those nn bisectors are parallel.
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