Question

Construct a parallelogram ABCD, when :

$AB=5.8cm$, diagonal $AC=8.2$ cm and diagonal $BD=6.2cm.$

Answer 1

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.