Q:

ΔABC 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?

• 1
  $$ {4 AC^{2}=5{BE}^{2}}$$
• 2
  $$ {3 AC^{2}=4{BE}^{2}}$$
• 3
  $$ {2 AB^{2}=3{AD}^{2}}$$
• 4
  $$ {7 AB^{2}=9{AD}^{2}}$$