A multi-part article of furniture, such as a chair or table, capable of being assembled without tools or glue is disclosed. The legs of the table or chair can be rigidly, but removably, attached to the table top or chair seat by slideably engaging an elongated dowel protruding from an upper side surface of the leg into a mating slot formed in the end wall of an apron attached to the underside of the table top or chair seat. Alternatively, the elongated dowel may protrude from the apron and the upper side surface of the leg may contain a mating slot. Fastening clips may provide additional attachment between the legs and aprons and a separate dowel protruding from the upper end surface of the leg may mate with a bore in the underside of the seat or table top. In one embodiment, the length of the legs is varied either by replacement with longer-length legs or by the addition of leg-extension members.