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To solve the problem of finding the number of triangles in the given figure, we will analyze the intersections and identify all the triangles formed by connecting lines.

### Step-by-step Triangle Count:
1. **Triangle ADE**: Formed by points \(A\), \(D\), and \(E\).
2. **Triangle BEF**: Formed by points \(B\), \(E\), and \(F\).
3. **Triangle GEF**: Formed by points \(G\), \(E\), and \(F\).
4. **Triangle ABG**: Formed by points \(A\), \(B\), and \(G\).
5. **Triangle ADF**: Formed by points \(A\), \(D\), and \(F\).

Thus, there are **5 triangles** in total.

The correct answer is **(b) 5**.

Would you like more details or further explanation on any part of the solution? 

Here are some related questions:
1. How are intersecting lines used to form triangles in geometry?
2. What is the general method to count triangles in complex geometric figures?
3. Can parallel lines form triangles in a geometric arrangement?
4. How can triangles in a given figure be categorized by type (isosceles, scalene, etc.)?
5. How does the concept of collinearity affect triangle formation?

**Tip**: When analyzing complex figures, break the figure into smaller sections and count the simplest geometric shapes first.

Explore how to determine the number of triangles formed by intersecting lines in a geometric figure. This problem introduces concepts in geometry, including identifying intersections and understanding triangle formation. Ideal for students in Grades 6-8.

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