MathDB
IMO LongList 1985 AUS2 - All points are covered

Source:

September 10, 2010
geometryrectangleperimeterLaTeXgeometry proposed

Problem Statement

We are given a triangle ABCABC and three rectangles R1,R2,R3R_1,R_2,R_3 with sides parallel to two fixed perpendicular directions and such that their union covers the sides AB,BCAB,BC, and CACA; i.e., each point on the perimeter of ABCABC is contained in or on at least one of the rectangles. Prove that all points inside the triangle are also covered by the union of R1,R2,R3.R_1,R_2,R_3.
Back to ProblemsView on AoPS