MathDB
2024 Team Problem 2

Source:

April 23, 2024
team

Problem Statement

Let △ABC\triangle ABC be equilateral. Let DD be the midpoint of side AC,AC, and let DEFGDEFG be a square such that D,F,BD, F, B are collinear and E,GE,G lie on AB,CBAB,CB respectively. What fraction of the area of △ABC\triangle ABC is covered by square DEFG?DEFG?
Proposed by Lohith Tummala
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