Chapter 10: Q8. (page 382)

Describe how you would construct each of the following:
A square whose perimeter equals $\bar{A C}$ .

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

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

Step 2. Concept used.

The perimeter of square is sum of all side.

Step 3. Construction.

The procedure to construct square:

Consider the line segment $\bar{P Q} \subset$ with length equal to $\frac{1}{4} \bar{A C}$ .

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

points $X & Y$ .

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

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

Using the length of $\bar{P Q}$ with centre $Q$ ,draw an arc on the line $\bar{Q Z}$ . Label the

point $R$ .

Using the same length with centre $P, R$ and draw two arcs. Intersecting point is $S$ .

Join $\bar{P S}$ and $\bar{R S}$ .

Obtain the square $P Q R S .$

The construction is shown below.

Therefore, the construction of a square with perimeter equal to $\bar{A C}$

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Describe how you would construct each of the following:
A square whose perimeter equals $\bar{A C}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Construction.

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Describe how you would construct each of the following:A square whose perimeter equals AC¯ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Construction.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Describe how you would construct each of the following:
A square whose perimeter equals $\bar{A C}$ .