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Question

Construct a parallelogram ABCD, when :
AB=5.8cm, diagonal AC=8.2 cm and diagonal BD=6.2cm.

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Solution

We know that the diagonals of a parallelogram bisect each other.

Steps of Construction:

(i) Draw AB =5.8 cm.
(ii) With A as center and radius 4.1cm, draw an arc.
(iii) With B as center and radius 3.1 cm draw another arc, cutting the previous arc at O.

(iv) Join OA and OB.

(v) Produce AO to C such that OC = AO and produce BO to D such that OD = OB.
(vi) Join AD, BC and CD.


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