Syracuse had just six turnovers and won easily even though Marquette won the battle of the boards, 44-36.
Triche made a layup on a goaltending call to make it 28-21 with 14:24 left in the game.
Fair made a basket to give the Orange a 30-23 lead but Blue hit two free throws to make it 30-25 with 12:36 left. Fair responded by heading back to the baseline, hitting a one-hander from about six feet out to give Syracuse a 32-25 edge with 12:10 remaining.
A driving layup and free throw by Southerland made it 35-25 and Carter-Williams (12 points, six assists) scored on the next possession to give the Orange a 37-25 lead, its biggest of the game at the time.
Fair added six rebounds, three steals and two blocks and had no turnovers as one of two players, along with Blue to play all 40 minutes. He helped shut down Blue, who made just 3 of 15 shots from the field.
This will be the first Final Four appearance for Syracuse (30-9) since 2003, when the Orange won the national title with Anthony and guard Gerry McNamara, now an assistant coach.
Fair was joined on the all-region team by Carter-Williams, the MVP, Southerland and Gardner and Blue of Marquette.