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concurrency in a trapezoid, midpoints, height related

Source: 2014 Oral Moscow Geometry Olympiad grades 10-11 p1

August 9, 2019
geometrytrapezoidconcurrencyconcurrent

Problem Statement

In trapezoid ABCDABCD: BC<AD,AB=CD,KBC <AD, AB = CD, K is midpoint of AD,MAD, M is midpoint of CD,CHCD, CH is height. Prove that lines AM,CKAM, CK and BHBH intersect at one point.
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