Chords \(\overline{AB}\) and \(\overline{CD}\) of a circle intersect inside the circle at point F. If m(\(\overline{AF}\)) = 2.4 cm, m(\(\overline{BF}\)) = 1.8 cm, and m(\(\overline{CD}\)) = 5.7 cm, what is the length (in cm) of the longer of the two line segments, \(\overline{CF}\) and \(\overline{DF}\)?