Five families each own a cabin around a small lake. A map of the cabin locations around the lake is shown below. Diagram of cabins along a lake and similar triangles are formed by the distances between the cabins.

Note: The triangles formed on the map are similar triangles.

Part A: Using the first letter of each family's last name, write a statement that shows the relationship between the triangles formed on the map.

Part B: The Steele family is invited to the Tersch family's cabin for dinner. How far must they travel if they take their boat across the lake?

Part C: Show your work to support your answer to Part B.