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    Let ABC and A'B'C be two triangles in which AB>A'B, BC>B'C' and CA>C'A'. Let D, E and F be the mid-points of the sides BC, CA and AB respectively. Let D', E' and F' be the midpoints of the sides B'C', C'A' and A'B' respectively. Consider the following statements:

    Statement I :

    AD>A'D', BE>B'E' and CF> C'F' are always true.

    Statement II:

    AB2+BC2+CA2/AD2+BE2+CF2

    =A'B'2+B'C'2+C'A'2/A'D'2+B'E'2+C'F'2

    Which one of the following is correct in respect of the above statements

  • Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I
  • Both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I
  • Statement I is true but Statement II is false
  • Statement I is false but Statement II is true