(CNN) -- Extra-time goals by Darren O'Dea and Aiden McGeady gave Celtic a 2-0 victory over Glasgow rivals Rangers in the Scottish League Cup final at Hampden Park.
Darren O'Dea (left) peels away after scoring the opening goal in Celtic's 2-0 victory over Rangers.
After 90 tense minutes had failed to produce a goal, the game moved in to extra-time and just a minute after the restart O'Dea, who had not scored since Celtic beat Livingston in February 2007, leapt to head a Shunsuke Nakamura free-kick past goalkeeper Allan McGregor.
Then, In the third minute of added time at the end of the match, Rangers defender Kirk Broadfoot was red-carded for denying McGeady a clear goalscoring opportunity and the Ireland international scored from the resulting penalty.
There was little between the two sides in normal time but Celtic's superior fitness paid off, giving them a psychological boost in their bid for a fourth Scottish Premier League title in succession -- a race in which Celtic lead Rangers by three points.
The victory was Celtic's first major final victory over their arch-enemies for 20 years -- and ensured Rangers, who are also through to the semifinals of the Scottish FA Cup -- cannot now lift the domestic treble.