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Mathematics

Construct a rhombus ABCD, if :

diagonal AC = 8 cm and diagonal BD = 6 cm.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw AC = 8 cm.

  2. Draw the perpendicular bisector of AC. Let EF be the perpendicular bisector of AC which bisects AC at point O.

  3. From OE, cut OB = BD2\dfrac{BD}{2} = 62\dfrac{6}{2} = 3 cm and from OF, cut OD = BD2\dfrac{BD}{2} = 3 cm.

  4. Join AB, BC, CD and DA.

Construct a rhombus ABCD, if : Constructions, Concise Mathematics Solutions ICSE Class 8.

Hence, ABCD is the required rhombus.

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