Geometry Problem 971: Equilateral Triangle, Rectangle, Common Vertex, Sum of Right Triangles Areas. Level: School, College, Mathematics Education

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The figure shows a rectangle ABCD and equilateral triangle CEF (E on AB extended, F on DA extended).
Prove that: Area triangle EBC = Area triangle FAE + Area triangle FDC.

Geometry Problem 971: Equilateral Triangle, Rectangle, Common Vertex, Sum of Right Triangles Areas

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