Determine the total number of triangles present in the given figure. (NOTE: The complete solution is provided in the detailed section below.)
- 7
- 8
- 15
- 16
Explanation
Step 1: Smallest triangles
If we look at the smallest possible divisions:
-
Top section: 4 small triangles
-
Bottom left: 2 small triangles
-
Bottom right: 2 small triangles
Total smallest ones = 8
Step 2: Medium triangles (made of 2 or 3 small ones)
-
Top part: 2 medium triangles (one on left, one on right)
-
Bottom part: 2 medium triangles (left, right)
Total medium = 4
Step 3: Larger triangles inside main shape
-
One triangle formed by the top half (entire top section)
-
One triangle formed by bottom left section
-
One triangle formed by bottom right section
Total larger ones = 3
Step 4: The whole triangle
-
The largest triangle is the whole outline = 1
Grand total = 8 (small) + 4 (medium) + 3 (large) + 1 (whole) = 16 triangles
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