MathDB
convex quadrilateral

Source: 2007 Korean MO, 2nd Round, A.M.

August 18, 2007
geometry unsolvedgeometry

Problem Statement

A1B1B2A2 A_{1}B_{1}B_{2}A_{2} is a convex quadrilateral, and A1B1≠A2B2 A_{1}B_{1}\neq A_{2}B_{2}. Show that there exists a point M M such that \frac{A_{1}B_{1}}{A_{2}B_{2}}\equal{}\frac{MA_{1}}{MA_{2}}\equal{}\frac{MB_{1}}{MB_{2}}
Back to ProblemsView on AoPS