Skyhawk 172/Cutlass 172
Air Traffic Control Fully Certified
Air Traffic Control Time Certified In Pos 1 (yrs) 7
Distraction; Training / Qualification; Situational Awareness
ATC Issue All Types; Conflict Airborne Conflict; Deviation / Discrepancy - Procedural Published Material / Policy; Inflight Event / Encounter CFTT / CFIT
Human Factors
I was conducting training with all the low sectors combined which was normal for this time of day and traffic complexity. Aircraft X had been conducting multiple approaches when I took over training. Aircraft X made no indication that he would be doing another approach following the approach he was issued but he came off again and leveled at 2;100 ft. We had traffic inbound for the same airport that put that put each other in conflict so the Trainee decided to vector Aircraft X northwest of his current position that would put him into a higher MVA area. I was hoping he would recognize the situation he was putting himself into but we had a little time to make it work since it was a C172. Other aircraft called up and diverted my attention away from ensuring that he provided separation from the higher MVA. It was too late by the time I realized the aircraft was already below the MVA. We climbed the aircraft and turned it back on course. I reflected the A1 in his training report and told him I was going to file a report and suggested he fill out a report as well.Tower restricting to climb any aircraft to an altitude lower than 2;600 ft. in that area would prevent subsequent MVA conflictions. Tower should have called us telling us the aircraft was IFR and on a missed approach.
[Report narrative contained no additional information.]
Tracon Controller reported becoming distracted and allowing an aircraft to be vectored below the MVA.