In a huge park, people are concentrated at three points (see Fig. 7.52): A: where there are different slides and swings for children, B: near which a man-made lake is situated, $ C $ : which is near to a large parking and exit. Where should an icecream parlour be set up so that maximum number of persons can approach it? (Himt : The parlour should be equidistant from $ \mathrm{A}, \mathrm{B} $ and $ \mathrm{C} $ ) "
Given:
In a huge park, people are concentrated at three points.
To do: We have to find where to set up an icecream parlour so that maximum number of persons can approach.
Solution:
Let us consider $ABC$ as a triangle.
Such that the three points in a triangle will be equidistant at circumcentre from the points $ABC$.
Therefore, let us join points $ABC$
Let us draw perpendicular bisectors to $AB$, $BC$ and $CA$
Now let mark the point of intersection as point $O$ this will be the circumcentre
Therefore, An ice cream parlour can be set up at $O$.
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