I don't know if this is how i'm supposed to explain it, but AC is twice the size of DF, and DF is twice the size of CF
Pretend that DF is 2 inches, then AC is 4 inches and CF is 1 inch, so you get this:
[tex] {DC}^{2} = CF \times AC[/tex]
[tex] {2}^{2} = 1 \times 4[/tex]