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sunainaluthra
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yeah ur right... A is the answer.. n i too guessed it .. but i want to know the exact concept behind it...

As u said sumthing related to concept of midpoints n all...
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When you have 1 midpoint and draw it to the opposing vertex you get a 1:2 ratio of the original area. Now you do that with 3 midpoints in the beginning you should get 6 equal pieces. Now you have the last 2 midpoints which is splitting the 1/3 of the total area apart into 6 pieces. you want 2 of the 6 pieces for the area.
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rashminet84
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Their are 2 concepts involved.

1) A line connecting midpoint of any side and the opposite vertex will divide the triangle in 2 halves equal in area
2) If a line connects midpoints of any two sides, then the smaller triangle thus formed will be proportional to the area of the original triangle in area. ie area of larger : area of smaller triangle = 4:1

Now connect XB. area AXB = area BXC = 16

connect XY, (applying rule 1 again for BXC) area BYX = area CYX = 8

area rsc : area cyx = 1:4
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Thanks a lot .. i understand it clearly now



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