Chapter 10: Q3. (page 382)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

The given statement is “The median of $Δ A B C$ that contains vertex $B$ ”.

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 $Δ A B C$ :

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

$\bar{A C}$ .

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

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

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

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

Draw the median $\bar{B M}$

The construction is shown below.

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

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

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Solution.

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Describe how you would construct each of the following:The median of ΔABC 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

Decision Maths

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Pure Maths

Probability and Statistics

Study anywhere. Anytime. Across all devices.

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