All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
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.)
Hints/Tips re: solution | Comment 3 of 10 |
(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

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information