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In a huge park, people are concentrated at three points (see Fig. 7.52):
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?(Hint: The parlour should be equidistant from A, B and C)
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)

Solution:

The maximum number of persons can approach the ice-cream parlour if it is equidistant from A, B and C. In a triangle, the circumcentre is the only point that is equidistant from its vertices.

So, the ice-cream parlour should be set up at the circumcentre O of ΔABC as shown below.

We can find circumcentre O of this triangle by drawing perpendicular bisectors of the sides of this triangle.

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?(Hint: The parlour should be equidistant from A, B and C)

In this situation, the maximum number of people can approach it.

☛ Check: NCERT Solutions Class 9 Maths Chapter 7

Video Solution:

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?
(Hint: The parlour should be equidistant from A, B and C)

NCERT Maths Solutions Class 9 Chapter 7 Exercise 7.5 Question 3

Summary:

We should set up the ice-cream parlour at the circumcentre(O) of ΔABC as the parlour will be equidistant from A, B and C so that the maximum number of persons can approach it.

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