Question 24
In the figure below, the side length of equilateral triangle ABC is 6 cm. Each side is divided into 6 equal segments and connects corresponding dividing points to get an equilateral network. Call a point "reachable" if it can be connected to A by a broken line of length 5 cm along the grid lines without passing any lattice point twice. For example, point D in the figure is reachable. Find the number of reachable points in the figure.
