Mathematics

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:

Draw a line segment AC = 5 cm.
Draw its perpendicular bisector XY bisecting it at O.
From XY, cut off OB = OD = $\dfrac{5}{2}$ = 2.5 cm.
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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