MathDB
St.Peterburg, P2 Grade 10, 2013

Source:

April 27, 2014
geometry proposedgeometry

Problem Statement

in a convex quadrilateral ABCDABCD , M,NM,N are midpoints of BC,ADBC,AD respectively. If AM=BNAM=BN and DM=CNDM=CN then prove that AC=BDAC=BD.

S. Berlov