Question

shaped property bounded by three streets. the park will be 100 feet on each side and will have a cluster of park benches at each vertex of the triangle. they also want to put up a gazebo in the center of the park. however, the council is divided over where the actual center of the park is. one group wants the gazebo placed so that it is the same distance from each cluster of benches, which would make it 58 feet from each vertex. the other group wants the gazebo placed so that it is the same distance from each street, which would make it 29 feet from each street. look at the two proposed site plans and determine which site would be best. plan 1 plan 2 plan 2 they are both the same. plan 1

Explanation:

Step1: Understand the concepts

The point equidistant from vertices is the circum - center (relevant for distances to vertices). The point equidistant from sides is the in - center (relevant for distances to sides).

Step2: Consider the park's use

The gazebo is in the center of the park. The in - center (distance from sides) gives a more central location within the triangular park. The circum - center (distance from vertices) may be closer to the vertices (less central). Since the park is bounded by streets (sides of the triangle), the in - center (Plan 2 which is based on distance from streets (sides)) is a better central location.

Answer:

Plan 2