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 Squaring shapes: (Posted on 2004-09-22)
The ancient Greeks, being masters of geometric manipulation, often tried their hand at "squaring" various shapes. This involved using only the most fundamental rules of geometry to construct a square whose area equals the area of the original shape.

Can you follow in their footsteps and square a simple triangle?

The solution must hold for all types of triangles.

 See The Solution Submitted by Benjamin J. Ladd Rating: 2.4000 (5 votes)

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 re(2): Solution | Comment 7 of 9 |
(In reply to re: Solution by Richard)

Another way of getting it is realizing that triangles APC and CAQ are similar, and thus PA/AC=AC/AQ, or AC²=PA.AQ, as desired.

As a matter of fact, I solved it this way; I didn't know your way of solving it, which is new to me!
 Posted by Old Original Oskar! on 2004-09-22 18:04:33

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