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Geometry Problem 969: Equilateral Triangle, Rectangle, Common Vertex, 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, F on AD). If S1, S2, and S3 are the areas of triangles EAF, EBC, and FDC, respectively, prove that S1 = S2 + S3.
 

Geometry Problem 969: Equilateral Triangle, Rectangle, Common Vertex, Right Triangles Areas

 

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