MathDB
triangle and quadrilateral have same areas, when midline bisects a segment

Source: May Olympiad (Olimpiada de Mayo) 2016 L2

September 10, 2018
geometryareasmidline

Problem Statement

In a triangle ABCABC, let DD and EE be points of the sides BC BC and ACAC respectively. Segments ADAD and BEBE intersect at OO. Suppose that the line connecting midpoints of the triangle and parallel to ABAB, bisects the segment DEDE. Prove that the triangle ABOABO and the quadrilateral ODCEODCE have equal areas.
Back to ProblemsView on AoPS