### Home > CCG > Chapter Ch7 > Lesson 7.2.1 > Problem 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.

Reflect the

Draw a straight line from the library to point . Added to diagram, point c, at end of horizontal segment, & diagonal line segment connecting point, c, to library.

Point is where Sandra should park her car. Added to diagram, point labeled, f, where the diagonal segment, crosses the vertical street line segment.

Write an equation based on similar triangles to calculate the length . If the length of the entire segment is

*, how can you label the other piece? Added to diagram, the label, x, along the vertical street segment, between point, f, & the horizontal segment from the art museum.*