3. Construct a parallelogram ABCD such that BC = 4.5 cm, BD = 4 cm and AC = 5.6 cm.
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Steps of Construction:
(i) Draw a triangle BOC with BC=4.5cm
Here
BO=1/2×4=2cm
OC=1/2AC
=1/2×5.6
=2.8cm
We know that the diagonals of parallelogram bisect each other.
(ii) Produce OC to point A such that OC=OA.
(iii) Produce BO to point D such that OD=OB.
(iv) Now join AD.
Therefore, ABCD is the required parallelogram
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