Is it true that the center of the inscribed circle of the triangle lies inside the triangle formed by the lines of connecting it's midpoints?
Problem
Source: 2012 Oral Moscow Geometry Olympiad grades 10-11 p1
Tags: geometry, incenter, midpoints
Source: 2012 Oral Moscow Geometry Olympiad grades 10-11 p1
Tags: geometry, incenter, midpoints
Is it true that the center of the inscribed circle of the triangle lies inside the triangle formed by the lines of connecting it's midpoints?