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Chapter 10: Q1. (page 385)

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

1. Draw any 鈻�ABC.Draw the bisectors of the angles of the triangle. They should intersect in one point. Draw a perpendicular segment from this point to each of the sides. Measure the length of each perpendicular segment. What do you notice?

Short Answer

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The final answer is:

Step by step solution

01

Step 1. Given information:

Triangle have angle bisectors and perpendicular segments to each side.

02

Step 2. Concept used:

We use basic geometric and angle concept.

03

Step 3. Applying the concept:

The perpendiculars are equal in measurement.

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Most popular questions from this chapter

Suppose you are given the three lengths shown and are asked to construct a triangle whose sides have lengths r,s,and t. Can you do so ? State the theorem from Chapter 6 that applies.

Repeat Exercise 8, but use the ASA method.

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

The perpendicular to l at P.

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

The medians of 鈻�DEFare shown. Find the lengths indicated.

  1. EP=?
  2. PR=?
  3. If FT=9, then PT=?and FP=?
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