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perpendicular passes through midpoint, in trapezoid ABCD, AB = BC = CD

Source: 2011 Oral Moscow Geometry Olympiad grades 8-9 p4

April 17, 2020
geometrytrapezoidisoscelesmidpointaltitudeperpendicular

Problem Statement

In the trapezoid ABCD,AB=BC=CD,CHABCD, AB = BC = CD, CH is the altitude. Prove that the perpendicular from HH on ACAC passes through the midpoint of BDBD.
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