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Mathematics

Construct a parallelogram ABCD, if :

AD = 4 cm, DC = 5 cm and diagonal BD = 7 cm.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw AD = 4 cm.

  2. Taking D as centre, draw an arc of radius 7 cm (= diagonal BD) and taking A as centre draw one more arc of radius 5 cm (= AB). Let the two arcs intersect at point B. Join A and B.

  3. Taking B as centre, draw an arc of radius 4 cm (= BC) and taking D as centre draw one more arc of radius 5 cm (= DC). Let the two arcs intersect at point C.

  4. Join DC and BC.

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

Hence, ABCD is the required parallelogram.

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