MathDB
DM = MB wanted, AO: OB = CO: OD = 1: 2 (2015 Kyiv City MO Round2 7.4.1)

Source:

September 3, 2020
equal segmentsgeometry

Problem Statement

The equal segments ABAB and CDCD intersect at the point OO and divide it by the relation AO:OB=CO:OD=1:2AO: OB = CO: OD = 1: 2 . The lines ADAD and BCBC intersect at the point MM. Prove that DM=MBDM = MB.
Back to ProblemsView on AoPS