How many triangles in a star inside a hexagon?

Answer 1

32

Answer 2

To determine the number of triangles in a star inside a hexagon, we need to consider the number of triangles formed by the lines connecting the vertices of the hexagon and the points where the lines of the star intersect. Each intersection point forms a triangle with two adjacent vertices of the hexagon. Therefore, if the star has n points of intersection, the total number of triangles would be n multiplied by 2. Additionally, we need to consider the triangles formed by the lines of the star itself, which would add n triangles to the total count. So, the total number of triangles in a star inside a hexagon would be 3n.

Answer 3

Oh, what a lovely question! Inside a hexagon, you can find six triangles formed by the sides of the hexagon. When you draw a star inside the hexagon, you create even more triangles. Each point of the star adds another triangle, so a star inside a hexagon can have up to twelve triangles in total. Just remember, there's no right or wrong answer in art, just happy little accidents!