Is it possible to cut a square into seven isosceles right triangles, no two of which are congruent?

This sounds a lot like Tangram, except that Tangram also has a square, which (divided) would always violate 'no two of which are congruent'.
So my first idea is: It is not possible to cut a square into N isosceles right triangles, no two of which are congruent.
And also: It is possible to cut a square into seven isosceles right triangles. (I still have to check this, but am fairly confident)

Posted by Hugo on 2005-01-31 20:01:33