Heat broiler. If using a broilerproof rimmed baking sheet, set rack 4 inches from heat; if using a broiler pan, set rack so that top of pan is 4 inches from heat.
On sheet (or pan), toss onion, peppers, and beans with 2 tablespoons oil, rosemary, 1 teaspoon salt, and 1/4 teaspoon pepper.
Push bean mixture to one side of sheet (or pan); place steak on other side. Rub steak with remaining teaspoon oil; season generously with salt and pepper. Broil, tossing bean mixture occasionally, until steak is medium-rare (135 degrees on an instant-read thermometer) and vegetables are lightly charred, 12 to 16 minutes.
Transfer steak to a cutting board; cover loosely with foil, and let rest in a warm place for at least 5 minutes. Transfer bean mixture to a serving bowl; toss with vinegar. Slice steak thinly; serve with bean mixture.
Broiling uses intense dry heat to cook foods quickly (similar to grilling). Preheat broiler for at least 10 minutes so it reaches the proper temperature (500 degrees to 550 degrees). Letting the steak rest at least five minutes before slicing allows the meat to reabsorb the juices, keeping it moist.
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