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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
    $$ {7 AB^{2}=9{AD}^{2}}$$
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Answer : 2. "$$ {3 AC^{2}=4{BE}^{2}}$$"

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