MathDB
equal segments and midpoints given, equal segments wanted

Source: 2017 Oral Moscow Geometry Olympiad grades 8-9 p1

July 26, 2019
equal segmentsgeometry

Problem Statement

On side ABAB of triangle ABCABC is marked point KK such that AB=CKAB = CK. Points NN and MM are the midpoints of AKAK and BCBC, respectively. The segments NMNM and CKCK intersect in point PP. Prove that KN=KPKN = KP.
Back to ProblemsView on AoPS