GREENSBORO, N.C. — Freshman Cory Joseph hit a turnaround jumper over Dexter Strickland with 1.4 seconds left to help No. 22 Texas beat North Carolina 78-76 on Saturday.

Joseph had a season-high 21 points for the Longhorns (9-2), while Jordan Hamilton had a team-high 24 points as Texas trailed for most of the second half before rallying in the final 3 minutes to edge out the Tar Heels (7-4) playing in front of an instate crowd.

Strickland matched his career-high with 18 points for North Carolina. Freshman Harrison Barnes added 16 points, including the tying 3 with 12.7 seconds left that set up Joseph's winner.

Joseph drove to the top of the key against Strickland and pump-faked to get the sophomore airborne, then spun to his right and lofted a shot that dropped cleanly through the net for the lead.

The Tar Heels had a final chance, but Kendall Marshall's desperation 3 missed as the horn sounded.