
This puzzle can have many answers. Starting with the hint in the question. Here triangle is in singular, so how many triangle? One.
Then the word "triangle" is a triangle of some kind, so it can be added to the number of each variant, I will add it in brackets.
Then we can count only triangles not crossed with anything, then there are 10 in the star, three in the tree and one in AltcoinsTalks.com line and one in the logo, totally 15 (16).
Then we can count triangles considering that borders are just borders. And this will be my main guess. Then the star has 10, the tree has 24 and one in AltcoinsTalks.com line and one in the logo, totally
36 (37).
Then we can consider that borders can hide a triangle on the backside. If we count only the ones which don't have crossing with other lines, then there will be additionally one triangle in the tree and one in the logo.
Then we can see all back triangles surrounding the inner ones. Then there are the same 24 additional triangles in the free, 10 in the star, one in the line AltcoinsTalks.com and one in the logo. So up to 72 (73).
And two last small things: I looked at the k letter in the logo and thought if it can have triangles also, but there are opened spases between the lines, so these geometric figures are hardly triangles; I also thought if a star hides some part of triangles in the top of the tree to make them non-triangles, but the picture is too small and I thought it can hardly be a trick.