Count the number of triangles in the given picture.

24 Just to make it easy for you to understand, we have numbered the triangles. So let us start calculating. Ten distinct triangles numbered from 1 to 10. Now, (1+2), (1+2), (1+2+3), (1+2+3+4), (2+3), (2+3+4), (3+4), (5+6), (5+6+7+8), (7+8), (1+2+5+6), (3+4+7+8), (2+6+9), (3+7+10), (6+9), (7+10) and (6+7+9+10). Thus the total number of triangles are 24.