In the rectangular coordinate plane, the coordinates of points A, B, and C are (1, 4), (7, 4 +fff\(6\sqrt3\)/fff)and (7, 4), respectively. What is the absolute value of the difference between AB and BC ?
A.6
B.4+fff\(\sqrt3\)/fff
C.6–6fff\(\sqrt3\)/fff
D.6fff\(\sqrt3\)/fff–12
E.12–6fff\(\sqrt3\)/fff