MathDB

TOT 380 1993 Autumn O J2 collinear midpoints

Source:

June 12, 2024

geometrycollinear

Problem Statement

Vertices

A

B

and

C

of a triangle are connected with points

A'

B'

and

C'

lying in the opposite sides of the triangle (not at vertices). Can the midpoints of the segments

AA'

BB'

and

CC'

lie in a straight line?
(Folklore)