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Home > CCG > Chapter 7 > Lesson 7.2.1 > Problem 7-56

7-56.

Sandra wants to park her car so that she optimizes the distance she has to walk to the art museum and the library. That is, she wants to park so that her total distance directly to each building is the shortest. Find where she should park.

A diagram of the street. The street runs vertically. The art museum is located 50 feet to the left of the street. The library is located 80 feet below the art museum and 60 feet to the left of the street.

Reflect the feet line across the street.

Draw a straight line from the library to point

Point is where Sandra should park her car. Draw a point F at the middle of the street to show where Sandra should park her car.

Write an equation based on similar triangles to calculate the length . If the length of the entire segment is and one piece is , how can you label the other piece?