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PUZZLET 183

A Primitive Right-Angled Triangle

To find the smallest primitive right-angled triangle whose sides are all integers, none of which contain more than three digits, and whose perimeter is a perfect square.

Right Triangles

A primitive right triangle cannot be a multiple of some smaller one. Thus, for example, 180, 240, 300 is excluded because it's a multiple of the basic 3,4,5 triangle.


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Last Updated: January 17th, 2010.