MathDB
Weird Problem

Source: May Olympiad(Olimpiada de Mayo) 2016

October 2, 2017
geometrymidpoints

Problem Statement

In a triangle ABCABC, let DD and EE point in the sides BCBC and ACAC respectively. The segments ADAD and BEBE intersects in OO, let rr be line (parallel to ABAB) such that rr intersects DEDE in your midpoint, show that the triangle ABOABO and the quadrilateral ODCEODCE have the same area.
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