A system and method for creating a cavity to receive an acetabulum in a pelvic bone with the aid of a navigated tool are provided. A tear-drop point on a pelvic bone is located by means of a scanning instrument. A tear-drop plane is determined from position data of the tear-drop point and the plane of the pelvic inlet. The tear-drop plane lies perpendicular to the plane of the pelvic inlet, extends parallel to a line connecting the two anterior superior iliac spines, and runs through the tear-drop point. A reference point is determined which is at a defined height above the tear-drop plane, in a defined position in an anterior-posterior direction, and at a defined spacing from an outer surface of the pelvic bone in a lateral-medial direction. A tool is worked into the pelvic bone in a desired direction relative to the reference point.