MathDB

3

Part of 2012 Rioplatense Mathematical Olympiad, Level 3

Problems(1)

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

Source: Rioplatense Olympiad 2012 level 3 P3

9/4/2018
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.
geometrycombinatorial geometryangle bisectorparallel