3. In a huge park, people are concentrated at three points (see Fig.):
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?
(Hint : The parlour should be equidistant from A, B and C)
The three main points form a triangle ABC. Now we have to find a point which is equidistant from all the three points.
Thus we need to find the circumcenter of the .
We know that circumcenter is defined as the point as the intersection point of the perpendicular bisectors of the sides of the triangle.
Hence the required point can be found out by drawing perpendicular bisectors of .