Q10. ... [FREE SOLUTION]

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Q10.

Expert-verified

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.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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.

Most popular questions for Math Textbooks

These exploratory exercises can be done using a computer with a program that draws and measures geometric figures.

2. a. Draw any acute $▵ A B C .$ Draw the perpendicular bisector of each side of the triangle. They should intersect in one point. Measure the distance from this point of intersection to each of the vertices of the triangle. What do you notice?

b. repeat using an obtuse triangle and a right triangle. Is the same result true for these triangles as well?

c. In a right triangle, the perpendicular bisectors of the sides intersect in what point?

Construct an angle having the indicated measure.

$165$

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise $23 - 25$ .

An isosceles triangle with a vertex angle of $n °$ and base of length $s$ .

On your paper, draw two angles roughly like those shown. Then for Exercise $11 - 14$ construct an angle having the indicated measure. $x + y$

$\bar{A U,} \bar{B V}$ and $\bar{C W}$ are the medians of $Δ A B C$

If ${AP=x}^{2} and PU = 2x, then x=?$

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Step by Step Solution

Step 1. Given information:

Step 2. Concept used.

Step 3. applying the concept.

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Step by Step Solution

Step 1. Given information:

Step 2. Concept used.

Step 3. applying the concept.

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