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Triangles in a square: What is the smallest area such a triangle can have?

I believe that the smallest area a triangle using that method could have is 2.5cm squared. I believe that, since you can't really change the base of the triangle (because then it wouldn't be following the rules of the method),you do have some say in the height of it. If you were to join the top right hand corner,(5,5) with the points (0,1) and (1,0)-then ofcourse multiply the base and height- divide by two- you should get an area of 2.5cm squared. This, in my opinion, is the smallest you can get for such a triangle inside a square.