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Triangles to Squares (Posted on 2003-01-20) Difficulty: 3 of 5
You have 8 wooden right-angle isosceles triangles (the lengths of the two lines that make up the right angle are equal). These are numbered from 1 to 8. Every single triangle is equal in size. Using these triangles how many DIFFERENT squares can you make. (Not neccesarily all at once)

Note: A square must be entirely wooden in order for it count. A square cannot have the exact same combination of triangles that have already been used.e.g if you used triangles 1 and 2 in one combination you can never have a square made from only triangles 1 and 2. (However triangles 1 and 3 would make a distinct square)

See The Solution Submitted by Alan    
Rating: 3.6000 (5 votes)

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re(2): Solution? | Comment 4 of 7 |
(In reply to re: Solution? by friedlinguini)

No, the problem specifically states that only one square made from each grouping of trianles can count. If you use tiangles 1, 2, 3, and 4 to make square 1234, then squares 1243, 2134, etc do not count, since they use the same grouping of triangles..
  Posted by TomM on 2003-01-21 03:27:54

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