MathDB
2019 Geometry # 7

Source:

September 10, 2023
geometry2019

Problem Statement

Consider a triangle △ABC\vartriangle ABC with AB=7AB = 7, BC=8BC = 8, CA=9CA = 9, and area 12512\sqrt5. We draw squares on each sides, namely BCD2D1BCD_2D_1, CAE2E1CAE_2E_1 and ABF2F1ABF_2F_1, so that the interiors of the squares do not intersect the interior of the triangle. What is the area of △D2E2F2\vartriangle D_2E_2F_2?
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