Find the number of triangles in this figure?

24

The figure consists of four repeating parts :

The number of triangles in this part=  4

In the complete figure, this part is repeated four times = 4 x 4 = 16 

We extend our study to two parts taken together,

This part contains 2 triangles (highlighted in red and yellow)

4 x 2 = 8 such triangles can be formed 

Total number of triangles in the figure = 16 + 8 = 24