MathDB

9

Part of 2001 Cuba MO

Problems(1)

[CEGF] = [BDG]

Source: - 2001 Cuba MO 2.9

9/15/2024
In triangle ABCABC, right at CC, let FF be the intersection point of the altitude CDCD with the angle bisector AEAE and GG be the intersection point of EDED with BFBF. Prove that the area of the quadrilateral CEGFCEGF is equal to the area of the triangle BDGBDG .
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