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Part of 2023 Adygea Teachers' Geometry Olympiad

Problems(1)

areas by 3 cevians (2023 Adygea Teachers' Geometry Olympiad p3)

Source:

Three cevians are drawn in a triangle that do not intersect at one point. In this case,

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quadrangles were formed. Find the sum of the areas of the quadrilaterals if the area of each of the four triangles is

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