Find out the number of triangles in the given figure.

- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's count the total number of triangles systematically:
1. The main figure contains a large square divided by two diagonals and one central horizontal line.
2. Let's use the standard counting trick for a square divided by both diagonals:
* The central intersection splits the square into small quadrants, each containing small individual triangles formed by the horizontal dividing line.
* Total single small triangles .
3. Combining two adjacent single small triangles inside each quadrant:
* There are larger triangles formed entirely by the intersection of diagonals (each quadrant/quarter contains large triangle facing outwards).
* Total .
4. Combining small triangles across the horizontal line and diagonals:
* Looking at the horizontal baseline split, there are medium triangles sharing the central line.
* There are additional combinations on the side boundaries.
5. Let's count completely:
* Individual single triangles visible
* Triangles composed of parts
* Triangles composed of parts
1. The main figure contains a large square divided by two diagonals and one central horizontal line.
2. Let's use the standard counting trick for a square divided by both diagonals:
* The central intersection splits the square into small quadrants, each containing small individual triangles formed by the horizontal dividing line.
* Total single small triangles .
3. Combining two adjacent single small triangles inside each quadrant:
* There are larger triangles formed entirely by the intersection of diagonals (each quadrant/quarter contains large triangle facing outwards).
* Total .
4. Combining small triangles across the horizontal line and diagonals:
* Looking at the horizontal baseline split, there are medium triangles sharing the central line.
* There are additional combinations on the side boundaries.
5. Let's count completely:
* Individual single triangles visible
* Triangles composed of parts
* Triangles composed of parts