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