Combine yogurt, lemon, garlic, salt, pepper and dill in a medium bowl, chop cucumber and add to yogurt. Refrigerate until needed.
Season steak with salt and pepper to taste. Sear steak in a pan on high heat (2-3 minutes on each side). Place steak on rack of broiler pan. Broil 10-15 minutes for medium rare (145° F) doneness, turning once. Carve steak into 1/2 inch slices.
Spread pitas with 2 Tablespoons hummus. Place tomatoes and olives on evenly on each pita. Sprinkle Feta cheese and serve with the yogurt mixture.
Servings Size 1 Pita
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