Distinguishing feet of altitudes and bisectors
Source: Sharygin First Round 2013, Problem 12
April 8, 2013
geometryrectanglegeometry proposed
Problem Statement
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.