To determine the number of triangles in the given figure, we need to carefully analyze each section of the diagram and count the distinct triangles. Let's break it down step-by-step.

1. Identify basic small triangles: These are often found within larger triangles or as part of the geometric pattern. Count all small individual triangles that are not subdivided further.
2. Combine the small triangles to form medium-sized triangles: Check for combinations of smaller triangles that form larger triangles. Count each distinct grouping.
3. Look for large triangles encompassing multiple other triangles: These involve combining several of the smaller and medium triangles.
4. Count unique triangles formed by intersection of lines: Any combination of intersecting lines that form a distinct triangle must be counted.

In this figure:

• There are 16 small triangles directly visible.
• Medium-sized triangles formed by combining smaller ones: 8.
• Large triangles formed by multiple smaller triangles: 4.

Therefore, the total number of triangles is given by the sum of all the identified triangles:

\(16 + 8 + 4 = 28\)

This confirms that the total number of triangles in the figure is 28. The correct option is

28