How many triangles are there in the third one?

There are 29 triangles when you count them all including non obvious ones.

9514 1404 393

Step-by-step explanation:

|x - 120|, if x < -120  . . .  the function changes behavior at x=120, at x < -120, the function value is -x+120

|x - ( -12 )|, if x > -12  . . .  in this domain, the function is unchanged: x + 12

|x - ( -12 )|, if x < -12  . . .  in this domain, the function is negated: -x -12

|x - ( - 12 )|, if x = -12  . . .  at this point, the function is 0

|x ÷3|, if x > 0  . . .  for positive x, the function is unchanged: x/3

|x÷3|, if x < 0  . . .  for negative x, the function is negated: -x/3