1. Shelburne Museum, a renowned art and history museum in Vermont, was opened on July 27, 1947. The museum is located in Shelburne, Vermont, and features over 150,000 works of art and artifacts in 39 exhibition buildings on 45 acres of land.

2. On July 27, 1783, Lake Champlain was officially declared to be part of the United States after being contested by both the United States and Great Britain in the Revolutionary War.

3. The Vermont State Fair, one of the oldest and most popular state fairs in the United States, was first held on July 27, 1846, in Rutland, Vermont. The fair features a variety of agricultural exhibits, live entertainment, and carnival rides and games.

4. The Vermont State Flag was adopted on July 27, 1923. The flag features a blue field with the state coat of arms in the center, surrounded by thirteen stars, which represent the original thirteen colonies.

5. Ethan Allen, a famous American Revolutionary War hero and the leader of the Green Mountain Boys, was born on July 27, 1738, in Litchfield, Connecticut. Allen played a key role in the capture of Fort Ticonderoga and the Green Mountain Boys' resistance to New York's attempts to control Vermont.