How many triangles are there in the given figure?

To find the total number of triangles in this figure, we need to break the image down into its constituent parts and count the triangles systematically, starting from the smallest individual units and then moving to larger composite shapes.

Systematic Counting Approach
Top-Left Small Square:

Inside the top-left square, there is a smaller square with diagonals. This configuration provides 4 small triangles and 4 larger ones (formed by two smaller ones), totaling 8 triangles in this section.

Middle Section:

Between the top-left and the large bottom-right section, there are several triangular shapes formed by the intersection of lines. Counting these individual units adds 4 triangles.

Bottom-Right Large Square:

This section contains a square with diagonals. Similar to the first section, it creates 4 small triangles and 4 larger triangles, totaling 8 triangles here.

Composite Triangles:

By looking at the intersections between these sections, we can identify 1 additional larger triangle formed by combining smaller components that span across the main sections.

Summing these up: 8 + 4 + 8 + 1 = 21.