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 ice cream parlour be set up so that maximum number of persons can approach it? ( Hint: The parlour should be equidistant from A, B and C)

Question

Philoid · Accepted Answer

Maximum number of persons can approach the ice-cream parlour if it is equidistant from A, B and C.

Now,

A, B and C form a triangle.

In a triangle, the circum centre is the only point that is equidistant from its vertices.

So, the ice-cream parlour should be set up at the circum centre O of ∆ABC

In this situation,

Maximum number of persons can approach it.

We can find circum centre O of this triangle by drawing perpendicular bisectors of the sides of this triangle