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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: solution | Comment 3 of 9 |
(In reply to solution by B)

B,

What you wrote is true, but it doesn't really answer the problem.

The problem is asking for the geometric construction. So, given a triangle (essentially three non-colinear points), using only a compass and a straightedge (and a pencil), show how one can construct a square with side equal to √(1/2 x b x h).
 Posted by Thalamus on 2004-09-22 13:33:09

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