Can you guess the correct answer?

Pic of question. 


We solve it by differentiate the triangles in the image into three types: small, medium, and large triangles.

 Number of small triangles = 12 triangles (3 + 4 + 3 + 2) that are up facing and 12 facing down.  Sum = 24 triangles.

 Number of medium triangles = 6 triangles (3 + 2 + 1) facing up and 6 facing down.  Sum = 12 triangles.

 Number of large triangles = 2. One facing up and one facing down.

Hence, the total number of triangles = 24 + 12 + 2 = 38 triangles.

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