Question

construct a parallelogram abcd such that ab =4.5,ac=4 and bd=5.6
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Answer 1

Answer:

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