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Question

The mid points of the sides of a triangle ABC along with any of the vertices as the fourth point make a parallelogram of area equal to
 


  1. ar(ABC)
     

  2. 12ar(ABC)

  3. 13ar(ABC)
     

  4. 14ar(ABC)
     


Solution

The correct option is B

12ar(ABC)



If P, Q and R the midpoints of the sides of aABC, area of any parallelogram formed by the midpoints and one vertex of the given triangle has area =12 areaABC

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