2011 Triumph Street Triple R. 2011 Triumph Street Triple R pictures, prices, information, and specifications. Compfortable, great engine and power curve My 2012, though, has a 675cc three-cylinder engine. 2012 Triumph Street Triple R engine close-up | Matthew Skwarczek. But it’s not exactly begging for more performance. The 675cc engine is rated at 106 hp and 50 lb-ft, and is linked to a 6-speed manual transmission. The 765cc engine is only up 5 hp and 4 lb-ft, Cycle World reports. jEFCgKz.