Question

Construct a parallelogram ABCD such that BC = 4.5 cm, BD = 4 cm and AC = 5.6 cml​

Answer 1

Step-by-step explanation:

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