Look in chapter 2 for the answer.
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Gandalf and Thorin took scabbards with jewelled hilts.
Two caught their eyes particularly, because of their beautiful scabbards and jewelled hilts. Gandalf and Thorin each took one of these; and Bilbo took a knife in a leather sheath. It would have made only a tiny pocket-knife for a troll, but it was as good as a short sword for the hobbit.