perpendicular wanted, midpoint, angle bisector, parallel, median related
Source: 2000 Argentina OMA L3 p2
June 15, 2020
geometryangle bisectormedianparallelperpendicular
Problem Statement
Given a triangle with side greater than , let be the midpoint of and be the point at which the bisector of angle intersects side . The line parallel to , which intersects the bisector at , is drawn by , and the line parallel to the side that intersects the median at is drawn by . Show that is perpendicular to .