Let’s count the number of triangles in the image:
We can see that the main shape is a large triangle divided by horizontal and vertical lines:
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There are 3 horizontal lines dividing the large triangle into 4 levels.
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There are 2 vertical lines, which divide each level into 3 parts (creating multiple smaller triangles).
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Overall, the shape contains many small triangles, both individual and combinations of smaller ones.
Counting:
Level 1 (top):
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1 small triangle.
Level 2:
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2 small triangles (left and right).
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Plus 1 larger triangle formed by combining the whole level → 3 triangles in total.
Level 3:
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3 small triangles (left, center, right).
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2 medium triangles formed by combining two small ones.
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1 large triangle from the entire level → 6 triangles in total.
Level 4 (bottom):
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3 small triangles.
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3 medium triangles (each combining two small ones).
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1 large triangle from the full level → 7 triangles in total.
Total triangles from each level:
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Level 1: 1
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Level 2: 3
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Level 3: 6
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Level 4: 7
Additionally, triangles formed by combining multiple levels:
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Level 1 + 2: 1
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Level 2 + 3: 2
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Level 3 + 4: 3
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Level 1 to 3: 1
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Level 2 to 4: 1
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Whole large triangle: 1
Total combined triangles: 9
Final Total:
1 (level 1) + 3 (level 2) + 6 (level 3) + 7 (level 4) + 9 (combinations) = 26 triangles
✅ Answer: 26 triangles
