There are 108 triangles in total... 24 triangles in each quarter of bigger square => 96 8 triangles with half side as height and full side as base. 4 triangles with full side as height and full side as base.
120 total ,in a Square ,that is divided by 4 there are 5 triangle ,4 triangle and the overall housing the 4 makes it 5 ,then 5 times 4 gives 20 and by 4 gives 80,the smaller square has 4 over lap and by 4 makes 16 and plus 80
Totally there are 104 triangles