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Make a cut that goes diagonally across three adjoining faces of the cube. If a side of the cube is 's'. Each side of the triangle will square_root(2)*s.
Scalene Triangle
Isosceles triangles
Unfortunately there is not enough information to accurately answer the question. There are hundreds if not million of ways the paper could be cut into a triangle. You could for instance cut diagonally from corner to corner. but you could cut off just one corner 1 centimeter in from two perpendicular sides and get a triangle.
Cut it diagonally left and right and cut it from top to bottom