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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 1 of 9

Area of triangle =1/2*b*h

Area of square =x^2

So for a "squared" triangle 1/2*b*h=x^2

the square would have a side equal to Sqrt(1/2*b*h)

Edited on September 22, 2004, 12:44 pm
  Posted by B on 2004-09-22 12:42:39

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