Chapter 10: Q7. (page 382)

Describe how you would construct each of the following:
The square whose sides each have length $A C$ .

Short Answer

Expert verified

The construction of a square with side length equal to $\bar{A C}$

Step by step solution

Step 1. Given information.

The given statement is “a square with side length equal to $\bar{A C}$ ”.

Step 2. Concept used.

Taking side $\bar{A C}$ as side of square.

Step 3. Solution.

The procedure to construct of square:

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

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

Points $X & Y$ .

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

Draw the line $\bar{C Z}$ and extend it.

Using the length of $\bar{A C}$ with center $C$ ,draw an arc on the line $\bar{C Z}$ . Label the

point $E$ .

Using the length of $\bar{A C}$ with center $A$ ,draw an arc on the line $\bar{C Z}$ . Label the

point $F$ .

Join $\bar{E F}$ and $\bar{A F}$ .

The construction is shown below.

Hence, the construction of a square with side length equal to $\bar{A C}$

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Describe how you would construct each of the following:
The square whose sides each have length $A C$ .

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 square whose sides each have lengthAC.

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 square whose sides each have length $A C$ .