Whisk together first six ingredients. Cut tofu lengthwise into 3/8-in. thick slices; cut each slice in half diagonally to make triangles. Place tofu and marinade in a large resealable plastic bag; seal and turn to coat. Refrigerate 3-5 hours, turning occasionally
Preheat broiler. Reserving marinade, place tofu in a 15x10x1-in. pan. Drizzle remaining marinade over tops. Broil 5-6 in. from heat until lightly browned and heated through, about 10 minutes.