Q10.

Question


Step-by-Step Solution

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Answer

It is not possible to find a spot for the recreation centre which is equidistant from three towns. 

1Step 1. Given information:

 Three points X,Y,Z  as collinear points.

2Step 2. Concept used.

 Centroid and median relation of a triangle.

3Step 3. applying the concept.

Consider the segments.

Draw the perpendicular bisector of each segment as shown in the figure:


We know that perpendicular bisectors are parallel to each other.