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No.
A rhombus has all four sides of equal length.
To split a rhombus into only 2 triangles, it must be split along a diagonal; which means that 2 of the sides of one of the triangles must be the same length as the sides of the rhombus, which being equal mean the triangles must be (at least) isosceles - scalene triangles will not work.
Further, as the diagonal will be a common length to each of the triangles (the length of their third sides), it will form the base (ie the side opposite the vertex between the sides of equal length) of the isosceles triangles, and so the triangles must be to congruent isosceles triangles.
If the diagonal has the same length as the side of the rhombus, then the two congruent triangles will be congruent equilateral triangles.
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no two triangles can make a square
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What does a square based pyramid look like?
the base is a 2-d square with joined triangles, meeting together to make a corner at the top, the triangles height can be any height, or the square can be any size
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