Find the number of triangles in the given figure.

In a figure-counting problem, first identify every basic (simple, non-overlapping) figure of the target shape, then separately identify every composite figure formed by combining two or more basic figures; the total count is the sum of both groups, with each distinct figure counted exactly once.

1. The five-pointed star has five outer points — A, B, C, D and E — each formed by two crossing lines meeting at a tip; these give five simple triangles, one at each outer point.

2. The crossing lines also enclose a small inner pentagon with vertices F, G, H, I and J. Each side of this inner pentagon, together with the two star lines extending from its endpoints, forms one larger triangle; there are five such larger triangles, one for each side of the inner pentagon.

3. Summing the two groups: five simple point-triangles plus five larger triangles gives ten triangles in total.

As an independent check, each of the star's five line segments participates in exactly one point-triangle and one larger triangle, so no triangle is counted twice and none is missed; this confirms the total of ten.