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A7. Comparing areas

In the diagram below, ABCD is a square, DCE is an equilateral triangle, F is the intersection of AE with CD, G is the intersection of BE with CD, IFJ and HGK are perpendicular to CD, and L is on CB so CF = CL. Prove that the area of triangle AFL is equal to the area of rectangle FGKJ.


CCSSI Mathematics said...

What is "IFG"?

Peter Ash said...

I meant IFJ, a line segment. Sorry. I have corrected the typo.