Br is the central atom:

There are 7 + 3×7 = 28 electrons and 6 are taken to make three covalent bonds. Each fluorine takes 6 electrons, therefore there are 28 – (6 + 3×6) = 4 electrons left, which go on the Br as two lone pairs:

The central atom has 3 atoms and 2 lone pairs, therefore, the **electron geometry is trigonal bipyramidal**, while the **molecular geometry is ****T-shaped**:

*Notice that the lone pair does not go in axial positions (up or down).*

There are 5 units (atoms and lone pairs) on the central atom, and to accommodate them, it needs 5 orbitals which is achieved through *sp*^{3}*d* hybridization.

Check this 99-question multiple-choice quiz on Geometry and Hybridization:

**Check Also**

- The VSEPR Model
**VSEPR Theory Practice Problems**- Hybridization of Atomic Orbitals
*sp*,*sp*^{2},*sp*^{3},*sp*^{3}*d*, and*sp*^{3}*d*^{2}Hybridization Practice Problems