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D, E, F are midpoints of BC, CA and AB respectively G.H. I are midpoints of FE, FD, DE respectively. Areas of ΔDHI and ΔAFE are in the ratio
  • a)
    1 : 3
  • b)
    1 : 4
  • c)
    1 : 9
  • d)
    1 : 16
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
D, E, F are midpoints of BC, CA and AB respectively G.H. I are midpo...
We have area of triangle AFE = A/4. (If A = Area of triangle ABC) and area of triangle DHI = (A/4)/4 = A/16.Hence, ratio = 1 : 4.
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D, E, F are midpoints of BC, CA and AB respectively G.H. I are midpoints of FE, FD, DE respectively. Areas of ΔDHI and ΔAFE are in the ratioa)1 : 3b)1 : 4c)1 : 9d)1 : 16Correct answer is option 'B'. Can you explain this answer?
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