MathDB

2013.D3

Part of Durer Math Competition CD 1st Round - geometry

Problems(1)

area chasing, midpoints, 1/3 ratio points 2012-13 Dürer Round1 D3

Source:

12/3/2022
The area of the triangle ABCABC shown in the figure is 11 unit. Points DD and EE lie on sides ACAC and BCBC respectively, and also are its ''one third'' points closer to CC. Let FF be that AEAE and GG are the midpoints of segment BDBD. What is the area of the marked quadrilateral ABGFABGF? https://cdn.artofproblemsolving.com/attachments/4/e/305673f429c86bbc58a8d40272dd6c9a8f0ab2.png
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