Their largest lead of the opening half was 18 points, coming off of a layup by junior forward C.J. Fair with 3:37 to go before halftime.
Syracuse led 34-22 at the break.
Between Carter-Williams and Triche alone, the Orange were two points shy of the Hoosiers' halftime total as a team.
Syracuse had seven steals in the first half alone, causing 11 turnovers in the first 20 minutes from the 2-3 zone.
Indiana came out in the second half on a 10-4 run, but Syracuse got their lead back up to double-digits thanks to junior center Baye Keita.
As the match edged closer to the final buzzer, the Orange kept attacking, keeping their lead in double-figures.
Syracuse moves onto the Elite Eight, winning 61-50.