How many triangle?

1. $\triangle$ ADF (ከላይ በግራ)
2. $\triangle$ AFE (ከላይ በቀኝ)
3. $\triangle$ FGH (የውስጠኛው የተገለበጠ ትሪያንግል)
4. $\triangle$ GHI (የውስጠኛው ቀጥ ያለ ትሪያንግል)
5. $\triangle$ DGB (ከ G በግራ በኩል)
6. $\triangle$ EHC (ከ H በቀኝ በኩል)
7. $\triangle$ GIB (ከ I በግራ በኩል)
8. $\triangle$ HIC (ከ I በቀኝ በኩል) በዚህ ክፍል ውስጥ ጠቅላላ = 8 ትሪያንግሎች አሉ።

9. $\triangle$ ADE (የ $\triangle$ ADF እና $\triangle$ AFE ጥምረት)
10. $\triangle$ DBH (የ $\triangle$ DGB እና $\triangle$ GHI ጥምረት) - No, this is not a triangle.
11. $\triangle$ ECG (የ $\triangle$ EHC እና $\triangle$ GHI ጥምረት) - No, this is not a triangle.

Let's re-evaluate combinations. 9. $\triangle$ ADE (የ $\triangle$ ADF እና $\triangle$ AFE ጥምረት) 10. $\triangle$ DGH (የ $\triangle$ DGB እና $\triangle$ FGH ጥምረት) - No, D, G, H are not vertices of a triangle. 11. $\triangle$ EHG (የ $\triangle$ EHC እና $\triangle$ FGH ጥምረት) - No, E, H, G are not vertices of a triangle.

Let's list triangles by their vertices again, to be sure.
Triangles with 3 vertices:

1. $\triangle$ ADF
2. $\triangle$ AFE
3. $\triangle$ FGH
4. $\triangle$ GHI
5. $\triangle$ DGB
6. $\triangle$ EHC
7. $\triangle$ GIB
8. $\triangle$ HIC (Total 8 smallest triangles)

Triangles made of 2 smallest triangles: 9. $\triangle$ ADE (from $\triangle$ ADF + $\triangle$ AFE) 10. $\triangle$ DFI (from $\triangle$ DGB + $\triangle$ GIB) - No, D, F, I are not vertices of a triangle. 11. $\triangle$ EHI (from $\triangle$ EHC + $\triangle$ HIC) - No, E, H, I are not vertices of a triangle.

Let's look for triangles that span across the horizontal lines.
Triangles spanning the top horizontal line (DE): 12. $\triangle$ ABH (A, B, H) - This triangle is formed by $\triangle$ ADF, $\triangle$ DGB, $\triangle$ FGH. 13. $\triangle$ ACG (A, C, G) - This triangle is formed by $\triangle$ AFE, $\triangle$ EHC, $\triangle$ FGH.

Triangles spanning the bottom horizontal line (BC): 14. $\triangle$ BHC (B, H, C) - This triangle is formed by $\triangle$ GIB, $\triangle$ HIC, $\triangle$ GHI. 15. $\triangle$ BGC (B, G, C) - This triangle is formed by $\triangle$ GIB, $\triangle$ HIC, $\triangle$ GHI.

Let's re-examine the image for larger triangles.

1. $\triangle$ ABC (ትልቁ ውጫዊ ትሪያንግል)
2. $\triangle$ ADE (ከላይኛው አግድም መስመር በላይ ያለው ትሪያንግል)
3. $\triangle$ FGH (የውስጠኛው የተገለበጠ ትሪያንግል)
4. $\triangle$ GHI (የውስጠኛው ቀጥ ያለ ትሪያንግል)

Let's count systematically by size:

1. ትንሹ ትሪያንግሎች (Smallest triangles):

• ከላይኛው አግድም መስመር በላይ:
  • $\triangle$ ADF
  • $\triangle$ AFE
• በመሃልኛው ክፍል (በአግድም መስመሮች መካከል):
  • $\triangle$ DGB
  • $\triangle$ EHC
  • $\triangle$ FGH (የተገለበጠ)
  • $\triangle$ GHI (ቀጥ ያለ)
• ከታችኛው አግድም መስመር በታች (በዋናው መሰረት ላይ):
  • $\triangle$ GIB
  • $\triangle$ HIC ጠቅላላ = 8 ትናንሽ ትሪያንግሎች።

2. ሁለት ትናንሽ ትሪያንግሎችን የያዙ ትሪያንግሎች (Triangles made of 2 smallest triangles):

• $\triangle$ ADE (የ $\triangle$ ADF እና $\triangle$ AFE ጥምረት)
• $\triangle$ DFI (No, D, F, I are not vertices of a triangle)
• $\triangle$ EHI (No, E, H, I are not vertices of a triangle)
• $\triangle$ DBH (No, D, B, H are not vertices of a triangle)
• $\triangle$ ECG (No, E, C, G are not vertices of a triangle)

Let's list all unique triangles:

1. $\triangle$ ADF
2. $\triangle$ AFE
3. $\triangle$ FGH
4. $\triangle$ GHI
5. $\triangle$ DGB
6. $\triangle$ EHC
7. $\triangle$ GIB
8. $\triangle$ HIC
9. $\triangle$ ADE (combines 1 and 2)
10. $\triangle$ ABH (combines 1, 5, 3)
11. $\triangle$ ACG (combines 2, 6, 3)
12. $\triangle$ BHC (combines 7, 8, 4)
13. $\triangle$ ABC (the largest triangle)

Total = 13 triangles.

The final answer is $\text{13}$.