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ABCD is a trapezium with AB parallel to CD The diagonals AC and BD intersect at O. A line EF through O is drawn parallel to AB and CD cuts sides AB and CD at E and F respectively. AE = 2cm, EB = 4.5cm, CF = 5cm, FD = 3cm, AD = 12cm, BC = 18cm. find ratio of area of triangle ADD to area of triangle BDA Ans: 4/9 find ratio of area of triangle DOF to area of triangle CAD Ans: 9/64 find ratio of area of triangle AOE to area of triangle ACB Ans: 16/169

ABCD is a trapezium with AB parallel to CD  The diagonals AC and BD intersect at O.   A line EF through O is drawn parallel to AB and CD cuts sides AB and CD at E and F respectively.  AE = 2cm, EB = 4.5cm, CF = 5cm, FD = 3cm, AD = 12cm, BC = 18cm.
  1. find  ratio of area of triangle ADD to area of triangle BDA      Ans: 4/9
  2. find  ratio of area of triangle DOF to area of triangle CAD     Ans: 9/64
  3. find  ratio of area of triangle AOE to area of triangle ACB    Ans: 16/169

Grade:12th pass

1 Answers

Nishant Vora IIT Patna
askIITians Faculty 2467 Points
8 years ago
dear student,

This question can be solved by using hero’s formula
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