Structured abrasive articles include a backing and shaped abrasive composites secured to the backing. The shaped abrasive composites include abrasive grits dispersed in a binder matrix. The shaped abrasive composites include a bottom surface and a top surface opposite and not contacting the bottom surface, and at least three sidewalls abutting both the bottom and top surfaces and two other sidewalls. In one embodiment, at least two cusps are formed by the top surface and individual sidewalls. In another embodiment, the top surface includes at least two triangular facets that contact at least two respective sidewalls and at least two cusps. The top surface includes at least one interior recessed portion nearer the cusps than the bottom surface. Methods of abrading a workpiece using the structured abrasive article are also disclosed.