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Squaring shapes: (Posted on 2004-09-22) Difficulty: 3 of 5
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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 4 of 9 |
Let B be the base of the triangle, and H its height. Draw a segment of length B+H/2; point A is at a distance B from the left. Draw a semicircle having that segment as its diameter. Draw a perpendicular to the segment through A. Let C be the intersection of the perpendicular and the semicircle. AC is the side of a square with equal area.
  Posted by Old Original Oskar! on 2004-09-22 13:33:46
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