impossible triangle construction given, height, angle bisector, median, <A >135
Source: Sharygin 2005 finals 9.5
August 28, 2019
geometryangle bisectormedianconstructionaltitudeangles
Problem Statement
It is given that for no side of the triangle from the height drawn to it, the bisector and the median it is impossible to make a triangle. Prove that one of the angles of the triangle is greater than