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Mathematics

Construct a rhombus ABCD in which AC = 5.6 cm and BD = 6.3 cm

Rectilinear Figures

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Answer

Steps of construction:

  1. Draw AC = 5.6 cm.

  2. Draw the perpendicular bisector of AC which cuts AC at O.

  3. From this perpendicular, cut OD and OB such that, OD = OB = BD2=6.32=3.1\dfrac{\text{BD}}{2} = \dfrac{6.3}{2} = 3.1 cm.

  4. Join AB, BC, CD and DA.

Construct a rhombus ABCD in which AC = 5.6 cm and BD = 6.3 cm. Chapterwise Revision (Stage 2), Concise Mathematics Solutions ICSE Class 9.

Hence, ABCD is the required rhombus.

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