Find the number of triangles in the figure.

- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's count the triangles systematically in the given geometrical figure:
1. Inside the central square box:
The square is divided into 4 quarters by a vertical line and a horizontal line, along with diagonals inside.
* Smallest individual triangles inside the square = triangles.
* Triangles formed by combining two small triangles (halves of the inner square) = triangles.
So, the inner square section contains triangles.
2. Outer large square corner triangles:
The inner square is placed inside a rotated larger square (diamond shape), creating triangles at the corners:
* Top corner triangle =
* Bottom corner triangle =
* Left corner triangle =
* Right corner triangle =
Total outer corner triangles = triangles.
3. Total Triangles = triangles.
1. Inside the central square box:
The square is divided into 4 quarters by a vertical line and a horizontal line, along with diagonals inside.
* Smallest individual triangles inside the square = triangles.
* Triangles formed by combining two small triangles (halves of the inner square) = triangles.
So, the inner square section contains triangles.
2. Outer large square corner triangles:
The inner square is placed inside a rotated larger square (diamond shape), creating triangles at the corners:
* Top corner triangle =
* Bottom corner triangle =
* Left corner triangle =
* Right corner triangle =
Total outer corner triangles = triangles.
3. Total Triangles = triangles.