What is the meaning of adjudicate?

verb

• Put on trial or hear a case and sit as the judge at the trial of.
  • usage: "The football star was tried for the murder of his wife"; "The judge tried both father and son in separate trials"
  • synonyms: judge, try
• Bring to an end; settle conclusively.
  • usage: "The case was decided"; "The judge decided the case in favor of the plaintiff"; "The father adjudicated when the sons were quarreling over their inheritance"
  • synonyms: decide, settle, resolve