If you look it up, youâll see that they are sometimes called French cleat wedge brackets. They are simply a length of dimensional lumber ripped in half at a 45-degree angle, or two pieces ripped at 45 degrees on the long edge of the lumber. One piece is attached to the wall, and the other is attached to the piece being hung. When the two pieces come together, they âwedgeâ and form a snug fit to the wall. The French cleat can be used for a variety of reasons. We chose them because the cabinet doors have some weight to them.