ABC is an equilateral triangle in which D, E and F are the points on sides BC, AC and AB, respectively, such that AD BC, BE AC and CF AB. Which of the following is true?

• A. $$ {4 AC^{2}=5{BE}^{2}}$$
• B. $$ {3 AC^{2}=4{BE}^{2}}$$
• C. $$ {2 AB^{2}=3{AD}^{2}}$$
• D. $$ {7 AB^{2}=9{AD}^{2}}$$