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Chapter 10: Q8. (page 382)

Describe how you would construct each of the following:

A square whose perimeter equals AC炉 .

Short Answer

Expert verified

The construction of a square with perimeter equal toAC炉

Step by step solution

01

Step 1. Given information.   

The given statement is 鈥渁 square with perimeter equal to AC炉鈥�鈥�.

02

Step 2. Concept used.

The perimeter of square is sum of all side.

03

Step 3. Construction.

The procedure to construct square:

  • Consider the line segment PQ炉鈯�with length equal to14AC炉.
  • Using Qas centre draw two arcs of same radii that intersects the linePQ炉at two

pointsX鈥�鈥�&Y.

  • With X鈥�鈥�&Yas centers and suitable radius, draw two arcs that intersect at pointZ.
  • Draw the lineQZ炉.
  • Using the length ofPQ炉with centreQ,draw an arc on the line QZ炉. Label the

point R.

  • Using the same length with centre P,Rand draw two arcs. Intersecting point isS.
  • Join PS炉and RS炉.
  • Obtain the squarePQRS.

The construction is shown below.

Therefore, the construction of a square with perimeter equal toAC炉

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Most popular questions from this chapter

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

A complement of 鈭�KML.

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  1. Explain why GD=GE.
  2. GA=?
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