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Describe how you would construct each of the following:

The square whose sides each have lengthAC.

Short Answer

Expert verified

The construction of a square with side length equal to AC

Step by step solution

01

Step 1. Given information.   

The given statement is 鈥渁 square with side length equal to AC鈥.

02

Step 2. Concept used.

Taking side AC as side of square.

03

Step 3. Solution.

The procedure to construct of square:

  • Consider the line segment AC.and extend it.
  • Using Cas centre draw two arcs of same radii that intersects the line ACat two

Points X&Y.

  • As X&Yas centers with suitable radius draw two arcs that intersect at pointZ.
  • Draw the line CZand extend it.
  • Using the length ofACwith center C,draw an arc on the line CZ. Label the

point E.

  • Using the length of ACwith center A,draw an arc on the line CZ. Label the

point F.

  • Join EFand AF.

The construction is shown below.

Hence, the construction of a square with side length equal toAC

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