How many triangles are there in the given figure?

To find the total number of triangles in the given figure, we must break the figure down into individual small triangles and then identify larger triangles formed by combining these smaller ones.

Step-by-Step Counting
Identify the basic (smallest) triangles:

On the far left, there is a small triangle at the base. (1)

Just next to it, sharing a side, is a second small triangle. (2)

In the middle section, there is a distinct triangle. (3)

On the far right, there is a large section that contains two smaller triangles separated by a line. (4 and 5)

Identify larger composite triangles:

Combining the two small triangles on the far left creates a larger triangle. (6)

Looking at the central vertical dividing line, it forms a triangle with the large sloping side on the left. (7)

Finally, the largest triangle encompassing the overall outer shape (formed by the tall peak and the base) must be counted. (8)