Find the number of triangles in the figure.
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's count the triangles systematically:
1. Inside the central internal square:
The square is divided into sections by a vertical line, a horizontal line, and diagonal segments.
* Smallest individual single triangles =
* Combined larger triangles (each formed by joining two adjacent small triangles, making up a half-section of the inner square) =
Total triangles inside the central square =
2. Outer corner triangles:
The inner square is bounded by an outer tilted square (diamond shape), creating four independent triangles at the corners:
* Top corner triangle =
* Bottom corner triangle =
* Left corner triangle =
* Right corner triangle =
Total outer corner triangles =
3. Grand Total:
1. Inside the central internal square:
The square is divided into sections by a vertical line, a horizontal line, and diagonal segments.
* Smallest individual single triangles =
* Combined larger triangles (each formed by joining two adjacent small triangles, making up a half-section of the inner square) =
Total triangles inside the central square =
2. Outer corner triangles:
The inner square is bounded by an outer tilted square (diamond shape), creating four independent triangles at the corners:
* Top corner triangle =
* Bottom corner triangle =
* Left corner triangle =
* Right corner triangle =
Total outer corner triangles =
3. Grand Total: