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Mathematics

Construct a square ABCD in which diagonal AC = 9 cm.

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw a line segment AC = 9 cm.

  2. Draw perpendicular bisector to AC which cuts AC at O.

  3. From this perpendicular, cut OB and OD such that, OB = OD = 12\dfrac{1}{2} BD = 12\dfrac{1}{2} x 9 = 4.5 cm.

  4. Join AB, BC, CD and DA.

Construct a square ABCD in which diagonal AC = 9 cm. Chapterwise Revision (Stage 2), Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required square.

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