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Triangles and Rectangle (Posted on 2005-08-21) Difficulty: 3 of 5
Given a rectangle ABCD with |AB|=a and |BC|=b. There are two distinct equilateral triangles AEF and AGH with points E and G on line BC and points F and H on line CD. What is the product of the areas of the two triangles in terms of a and b?

See The Solution Submitted by Bractals    
Rating: 3.3333 (3 votes)

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re: Answer | Comment 4 of 5 |
(In reply to Answer by Richard)

This seems to check out in Geometer's Sketchpad for various ratios of a/b (and the dimensionality is right, in fourth powers of linear measure), but I can't help but ask for the derivation.
  Posted by Charlie on 2005-08-22 12:30:22

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