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Question:

In a huge park, people are concentrated at three points: A (where there are different slides and swings), B (near a man-made lake), and C (near a large parking and exit). Where should an ice cream parlor be set up so that the maximum number of persons can approach it?

Solution:

To set up a parlor, we should choose a place that is equidistant from A, B, and C. This point can be located by obtaining the point of intersection of perpendicular bisectors. So, D is the required point which is equidistant from A, B, and C.