A square is split into four small squares, and both diagonals of every small square are drawn. Find the total number of triangles.

16 smallest; 16 halves of the small squares (4 in each); 8 made of four smallest (4 quarters of the big square that meet at the centre and 4 that stand on a mid-line); 4 halves of the big square. Total $16+16+8+4=44$.