Step 1: Identify and Count the Triangles
The given figure consists of a rectangle divided into multiple regions by diagonals and intersecting lines. To count the number of triangles:
- Identify the distinct small triangles formed by intersections.
- Count all the individual triangles within the shape.
- Include triangles formed by larger divisions of the figure.
Step 2: Breakdown of the Triangle Count
By carefully analyzing the figure, we find:
- There are 6 small triangles.
- 3 additional triangles are formed by combining smaller triangles.
Thus, the total number of triangles is:
Final Answer: The correct answer is (b) 9