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Chapter 10: Q9. (page 389)

Short Answer

Expert verified

Three towns X,Y,Z form a shape of a triangle.

Step by step solution

01

Step 1. Given information:

Three towns X,Y,Z form a shape of a triangle.

02

Step 2. Concept used.

Centroid and median relation of a triangle.

03

Step 3. applying the concept.

Draw three perpendicular bisectors of three sides of the triangle obtained from X,Y,Zwith the help of a protractor.

All the three perpendicular bisectors meet at a point outside the triangle since the triangle is an obtuse triangle.

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Most popular questions from this chapter

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

2. a. Draw any acute ▵ABC.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.

45

Draw a segment and let its length be 1.

a. Construct a segment of length 5.

b. Construct a segment of length 12+52, or 1+52.

c. Construct a golden rectangle whose sides are in the ratio 1:1+52.

a

On your paper draw figures roughly like those shown. Use them in constructing the figures described in Exercise 17-24.

A right triangle with hypotenuse of length a and one leg of length b
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