How many equilateral triangles can a regular hexagon be divided into?

A regular hexagon can indeed be divided into six equilateral triangles. To visualize this, consider a regular hexagon with all sides and angles equal.

One method to understand how this division works is to draw lines connecting the center of the hexagon to each of its vertices. This action creates six sections within the hexagon, with each section forming an equilateral triangle. Each vertex of the hexagon serves as a point of convergence for two sides of an equilateral triangle, while the center of the hexagon acts as the third vertex.

Since the hexagon has six vertices, the result is a total of six such triangles, all of which are congruent and equilateral in nature. This decomposition uses the symmetry of the hexagon to maintain equal angles and side lengths within each triangle, confirming that the answer is indeed six.