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### Best Answer paxwill says

If you first ignore the lines of the smaller triangle in the middle, there are 16. If you add the smaller triangle back in and count all the new triangles that have an edge(s) in common with it, you get 22 more. So there are 16 + 22 = 38 triangles.

Thanks for bringing back the shape counting puzzles!

You found them all, good work.

### Prerna Singhal says

i think its 20 triangles ..... i hope i am right

thanks for the question... its very interesting

### jellohello says

I found 38. The answer has to be 2 plus a multiple of 3, because there are two large equilateral triangles, and for each triangle in the center there are 3 copies.

Disregarding rotations, I was able to find 12 distinct non-equilateral triangles inside the diagram. Therefore the total number is 2 + 3*12 = 38

Great explanation and logic.