It depends on the size of the square and the sizes and shapes of the triangles.
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no triangles
You can put 2 triangles in a square or you can call it a quadrilateral.
1o triangles
It depends entirely on the size of the triangles and the size of the square.
If its a 4 by 5 grid, there are 20 squares because 4 times 5 =20 20 by 2 is 40 so there are 40 triangles because there are 2 triangles that fit into each square. Hope this helps!