If you look closely and count systematically, the correct answer is 9 Triangles.
Here is exactly where they are hidden:
The Roof (Top Section): The main triangular roof is split down the middle, giving you 3 triangles in total (2 small individual ones and 1 large overall triangle).
The Right Wing: Extending out to the right side of the roof is 1 distinct triangle.
The Envelope (Bottom Square): Inside the lower square base, the intersecting diagonal lines form 5 individual triangles of various sizes.
When you add them all up, you get exactly $3 + 1 + 5 = 9 triangles!