Butterfly Effect

Geometry Level 5

The lines above are drawn joining points A,B,D,EA, B, D, E on the circumference of the circle, such that BDBD is a diameter of length 2020 and ABC=2BAC.\angle ABC = 2\angle BAC.

If AC=3AC = 3, what's the ratio of the areas of the two triangles, blue CDE\triangle CDE to red ABC?\triangle ABC?

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