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Mathematics

Construct a parallelogram ABCD, if :

BC = 4.5 cm, CD = 5.2 cm and ∠ADC = 60°.

Quadrilaterals Constructions

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Answer

Steps:

  1. Draw CD = 5.2 cm.

  2. At D, construct angle PDC = 60° and from PD cut DA = 4.5 cm.

  3. Taking A as center, draw an arc of radius 5.2 cm (= AB) and taking C as center draw one more arc of radius 4.5 cm (= CB). Let the two arcs intersect at point B.

  4. Join CB and AB.

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

Hence, ABCD is the required parallelogram.

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