TOT 330 1992 Spring O S2 midpoint wanted by angle bisectors
Source:
June 9, 2024
geometrymidpointangle bisector
Problem Statement
Sides of a triangle are equal to , and . Each side is extended until it intersects the bisector of the external angle to the angle opposite to it. Three such points are obtained in all. Prove that one of the three points we get is the midpoint of the segment joining the other two points. (V. Prasolov)