Question 16The diagram shows $28$ lattice points, each one unit from its nearest neighbors. Segment $AB$ meets segment $CD$ at $E.$ Find the length of segment $AE.$ $\dfrac{4\sqrt5}{3}$$\dfrac{5\sqrt5}{3}$$\dfrac{12\sqrt5}{7}$$2\sqrt5$$\dfrac{5\sqrt{65}}{9}$
