1. **Problem statement:** We need to find the total number of triangles in a complex figure composed of one large outer triangle with several internal lines creating multiple smaller triangles. 2. **Approach:** To count the triangles, we consider all possible triangles formed by the intersections of the lines inside the large triangle. 3. **Step 1:** Identify the large outer triangle as 1 triangle. 4. **Step 2:** Count triangles formed by the vertical line from the apex to the base midpoint. This line divides the large triangle into 2 smaller triangles. 5. **Step 3:** Count triangles formed by the horizontal segment across the upper middle connecting the left and right edges. This creates additional smaller triangles above and below this segment. 6. **Step 4:** Count triangles formed by the diagonals crossing through the center and lower middle. These diagonals intersect with the vertical and horizontal lines, creating multiple smaller triangles. 7. **Step 5:** Sum all triangles: the large triangle (1), the two triangles from the vertical line (2), the triangles formed by the horizontal segment (3), and the triangles formed by the diagonals (4). 8. **Step 6:** Total number of triangles is $1 + 2 + 3 + 4 = 10$. **Final answer:** There are **10** triangles in the figure.