How many triangles #8

1.) How many triangles do you see this picture ?

how many triangles do you see

Answer with solution

How?
Let’s say the smallest triangle side is 1 cms, then
Number of triangles with side 1cms: 12(3+4+3+2 upward facing) + 12(downward facing)
Number of triangles with side 2cms: 6(3+2+1 upward facing) + 6(downward facing)
Number of triangles with side 3cms: 1(upward facing) + 1(downward facing)

Thus, the total number of triangles in above puzzle are 38.