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Strips. Tri-tip strips cook to rare in about 8 to 10 minutes, and to medium in 12 to 14 minutes. This is the total cooking time, so turn the strips over at the halfway point -- 4 to 5 minutes on each side for rare, and 6 to 7 minutes on each side for medium.Calman Lugo/iStock/Getty Images.trips. Tri-tip strips cook to rare in about 8 to 10 minutes, and to medium in 12 to 14 minutes. This is the total cooking time, so turn the strips over at the halfway point -- 4 to 5 minutes on each side for rare, and 6 to 7 minutes on each side for medium. Calman Lugo/iStock/Getty Images.
Quick Answer. The tri-tip, which is a sirloin subprimal cut of beef, may be oven roasted in the oven at 425 degrees Fahrenheit for 30 to 35 minutes for medium-rare doneness and 40 to 45 minutes for medium doneness. Since tri-tip cuts have very little fat, roasting in the oven past medium doneness is not a good idea.