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# 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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