This answer is
not correct but it sure does look like it should have the fluorine atoms in a
symmetrical arrangement. The problem is that the bromine atom is not sp3d
hybridized with a trigonal bipyramidal geometry but rather sp3d2
hybridized with an octahedral electron-pair geometry. The bromine atom forms 5
bonds with the fluorine atoms and has one pair of non-bonding electrons left
over. This pair of electrons must be in a hybrid orbital and since it is
somewhat closer to the nucleus it is place in the square planar part of the
octahedral geometry. Thus the fluorine atoms are slightly off to one side
resulting in an overall molecular dipole moment.
