How do i make a hexagon out of a single equilateral triangle? - Answers

First, draw the equilateral triangle ABC, and its altitude AI. Extend the sides AB and AC in such way that the extended parts to be equal in length with the length of these sides. Extend also the altitude AI in such way that the extended part to be twice in length as the altitude length. Label their end points , started from the point C, respectively with D, K, and G. From points D, K, and G, draw the parallel lines to BG, BC, and CD. Label their intersections respectively with E and F. A hexagon is formed, the hexagon BCDEFG, where its sides are equal in length with the length sides of the equilateral triangle ABC.