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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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Answer | Comment 3 of 6 |
3[a^4+b^4-(ab)^2].  Don't ask!
  Posted by Richard on 2005-08-22 06:50:46
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