Answer:
3 non-congruent triangles
Explanation:
Assume, side of cube is 1 unit.
24 triangles, faces of cube and side lengths = 1,1,√2
24 triangles, by 2 diagonal and one side and length = 1,√2 ,√23
8 triangles, using bases of tetrahedrons of the cube and side lengths = √2 ,√2 ,√2
Therefore, 3 non-congruent triangles. are formed.