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Using ruler and compasses only, construct a square having a diagonal of length 5 cm. Measure its sides correct to the nearest millimeter.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment AC = 5 cm.
  2. Draw its perpendicular bisector XY bisecting it at O.
  3. From XY, cut off OB = OD = 52\dfrac{5}{2} = 2.5 cm.
  4. Join AB, BC, CD and DA. Then ABCD is the required square.
Using ruler and compasses only, construct a square having a diagonal of length 5 cm. Measure its sides correct to the nearest millimeter. Rectilinear Figures, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

On measuring, each side = 3.5 cm.

Hence, length of side of square = 3.5 cm.

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