Q3. Describe how you would construct... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 10: Q3. (page 382)

Describe how you would construct each of the following:
The median of $螖 A B C$ that contains vertex $B$ .

Short Answer

Expert verified

The construction of median of $螖 A B C$ is described.

Step by step solution

Step 1. Given information.

The given statement is 鈥淭he median of $螖 A B C$ that contains vertex $B$ 鈥�.

Step 2. Concept used.

A line segment joining a vertex to the midpoint of the opposite side.

Step 3. Solution.

The procedure to construct median of $螖 A B C$ :

Consider the line segment $\overset{炉}{A C}$ .
Choose a radius greater than $\frac{1}{2} \overset{炉}{A C}$ .
Using the above radius and Aas centre draw two arcs above and below the line

$\overset{炉}{A C}$ .

Using the same radius and $C$ as centre draw two arcs above and below the line $\overset{炉}{A C}$ .

Label the intersecting the points as $X 鈥� 鈥� a n d 鈥� 鈥� Y$ .

Observe $\overset{炉}{X Y}$ is the perpendicular bisector of $\overset{炉}{A C}$ .

The intersection point of $\overset{炉}{X Y} 鈥� & 鈥� \overset{炉}{B C}$ is the midpoint of $\overset{炉}{A C}$ label the point as $M$ .

Draw the median $\overset{炉}{B M}$

The construction is shown below.

Therefore, the construction of median of $螖 A B C$ is described.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Describe how you would construct each of the following:
The median of $螖 A B C$ that contains vertex $B$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Decision Maths

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

91影视

Describe how you would construct each of the following:The median of 螖ABC that contains vertex B.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Solution.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Mechanics Maths

Decision Maths

Calculus

Geometry

Study anywhere. Anytime. Across all devices.

Describe how you would construct each of the following:
The median of $螖 A B C$ that contains vertex $B$ .