Use a variety of radishes to make this salad even more colorful.
Cut the radishes, cucumber, and feta into 1-inch pieces. Transfer all the pieces to a medium mixing bowl. Halve the cherry tomatoes. Add tomato halves and dill to the radish mixture. Toss to combine.
In a small bowl, combine the vinegar, salt, and pepper. Whisk in the olive oil until combined. Drizzle vinaigrette over radish mixture, and toss well. Tear basil leaves into medium pieces, and toss. Serve.