Chapter 10: Q5. (page 382)

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

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

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

Step 2. Concept used.

An altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex).

Step 3. Solution.

The procedure to construct altitude of $Δ A B C$ :

Consider the line segment $\bar{B C}$ and extend it.

Using $A$ as centre draw two arcs of same radii that intersects the line $\bar{B C}$ at two

Points $X & Y$ .

With $X & Y$ as centers and suitable radius draw two arcs that intersect at point $Z$ .

Draw the line $\bar{A Z}$ .

The altitude is $\bar{A M}$

The construction is shown below:

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

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

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 altitude of ΔABC that contain vertexA.

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

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Study anywhere. Anytime. Across all devices.

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