Problem #PRU-79403

Problems Geometry Plane geometry Geometric inequalities Triangle inequality Triangle inequality (other) Visual geometry

Problem

In a square with side length 1 there is a broken line, which does not self-intersect, whose length is no less than 200. Prove that there is a straight line parallel to one of the sides of the square that intersects the broken line at a point no less than 101 units along the line.