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Found in: Page 389


Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Short Answer

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

See the step by step solution

Step by Step Solution

Step 1. Given information:

Three points X,Y,Z as collinear points.

Step 2. Concept used.

Centroid and median relation of a triangle.

Step 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.

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