The Total solution for NCERT class 6-12
Ina huge park people are concentrated at three points (see the given figure)
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.
Whereshould an ice-cream parlour be set up so that maximum number of persons canapproach it?
Maximumnumber of persons can approach the ice-cream parlour if it is equidistant fromA, B and C. Now, A, B and C form a triangle. In a triangle, the circumcentre isthe only point that is equidistant from its vertices. So, the ice-cream parlourshould be set up at the circumcentre O of ΔABC.
Inthis situation, maximum number of persons can approach it. We can findcircumcentre O of this triangle by drawing perpendicular bisectors of the sidesof this triangle.