MathDB
$BN>CN$

Source: 8-th Taiwanese Mathematical Olympiad 1999

January 21, 2007
geometrycircumcirclegeometry unsolved

Problem Statement

Let AD,BE,CFAD,BE,CF be the altitudes of an acute triangle ABCABC with AB>ACAB>AC. Line EFEF meets BCBC at PP, and line through DD parallel to EFEF meets ACAC and ABAB at QQ and RR, respectively. Let NN be any poin on side BCBC such that NQP^+NRP^<1800\widehat{NQP}+\widehat{NRP}<180^{0}. Prove that BN>CNBN>CN.
Back to ProblemsView on AoPS