Let ABC and A'B'C' be two triangles in which `AB gt A'B', BC gt B'C' and CA gt C'A'`. Let D, E and F be the midpoints 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 gt A'D', BE gt B'E' and CF gt C'F' `
are always true.
Statement II :
`(AB^(2)+BC^(2)+CA^(2))/(AD^(2)+BE^(2)+CF^(2)) =(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?

Options

A. Both Statement I and Statement II are true and Statement II is the correct explanation of Statement I
B. Both Statement I and Statement II are true but Statement II is not the correct explanation of Statement I
C. Statement I is true but Statement II is false
D. Statement I is false but Statement II is true