To find the number of triangles in the given figure, let's break it down step by step:

1. First, count the triangles formed with the top vertex and the base. There are three smaller triangles at the base: 1, 2, and 3.
2. Then, consider the larger triangles created by combining these smaller pieces:
   • Triangle using lines 1 and 2: 4
   • Triangle using lines 2 and 3: 5
3. Consider larger composite triangles formed with multiple parts:
   • Triangle combining lines 1, 2, and 3: 6
   • Whole large triangle seen as a single piece: 7
4. Analyzing the outer parts:
   • Larger triangle using 1 and the outermost line: 8
   • Larger triangle using 3 and the outermost line: 9
5. Combine to form even larger triangles:
   • Entire figure seen as a single triangle: 10

Hence, the total number of triangles in the figure is 10.

Therefore, the correct answer is:

10