In a given square figure , both main diagonals and are drawn, intersecting each other at point . Count the total number of triangles formed inside the figure.

- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's systematically count the triangles formed in a square with intersecting diagonals and at :
1. Small individual triangles (single regions):
*
*
*
*
* Total single-region triangles =
2. Large combined triangles (composed of two regions each):
* (composed of )
* (composed of )
* (composed of )
* (composed of )
* Total multi-region triangles =
1. Small individual triangles (single regions):
*
*
*
*
* Total single-region triangles =
2. Large combined triangles (composed of two regions each):
* (composed of )
* (composed of )
* (composed of )
* (composed of )
* Total multi-region triangles =