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Chapter 10: Q10. (page 389)

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information:

Three points X,Y,Z as collinear points.

02

Step 2. Concept used.

Centroid and median relation of a triangle.

03

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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Construct an angle with the indicated measure.

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