Mathematics

Construct a parallelogram ABCD, if :

AB = 5.8 cm, AD = 4.6 cm and diagonal AC = 7.5 cm.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw AB = 5.8 cm.

  2. Taking A as centre, draw an arc of radius 7.5 cm (= diagonal AC) and taking B as centre draw one more arc of radius 4.6 cm (= BC). Let the two arcs intersect at point C. Join AC and BC.

  3. Taking C as centre, draw an arc of radius 5.8 cm (= DC ) and taking A as centre draw one more arc of radius 4.6 cm (= AD). Let the two arcs intersect at point D.

  4. Join AD.

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

Hence, ABCD is the required parallelogram.

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