The Tar Heels own a one-game lead over Duke with one game to play and they can wrap up an undisputed conference championship with a win over the Blue Devils in Chapel Hill Saturday. A Duke victory in that game would leave the two old rivals sharing the ACC crown.
Virginia Tech trailed by only a point with 5:03 to play, but Hansbrough started the late surge with two free throws. Hansbrough then increased the lead to five points with a jumper and the Hokies could not score again until less than 3 minutes remained.
Hansbrough and Ty Lawson both scored 22 points and they combined to make 15-of-17 free throw attempts.
North Carolina (26-3, 12-3 ACC) totaled 26 free throws in 32 tries.
A.D. Vassallo led Virginia Tech (17-12, 7-8) with 25 points. Virginia Tech has lost five out of its last six.