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Maithili, Shaila, and Ajay live in three different places in the city. A toy shop is equidistant from the three houses. Which geometrical construction should be used to represent this? Explain your answer.
Given:
Maithili, Shaila, and Ajay live in three different places.
A toy shop is equidistant from the three houses.
To find:
We have to find the geometrical concept used in the above statement.
Solution:
The geometrical concept used to represent the given situation is perpendicular bisector.
Explanation:
- Lines joining their houses will form a triangle.
- The position of the toy shop which is equidistant from the three houses can be found out by drawing the perpendicular bisectors of the sides of the triangle joining the three houses.
- The shop will be at the point of concurrence of the perpendicular bisectors.
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