First draw a regular pentagon forming the centre of the pentagram. Label the sides of the pentagram a, b, c, d, e. Extend sides a and c to meet at a point. Do the same for b and d, c and e, a and d, b and e. You now have the complete pentagram, a 5-pointed star. Join the star point where extended b and e meet to the vertex between c and d. Then join the star point where extended a and d meet to the vertex between b and c. This produces 11 distinct triangles. 3 of these are the non-bisected star points forming triangles with bases b, c, d. Triangles with bases a and e are bisected so there are 4 more triangles for these bisected star points. The intersecting lines on sides a and e form a number of triangles, at least 4, in which the star points form additional triangles. Counting them depends on whether the same area can be used more than once in the formation of different triangles.