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Question

Construct a parallelogram, ABCD with side BC = 4.5 cm, diagonal AC = 5.6 cm and diagonal BD = 5.0 cm. [4 MARKS]



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Solution

Concept : 1 Mark
Steps : 1 Mark
Construction : 2 Marks

Concept :

Diagonals of a parallelogram bisect each other. i.e., OB = OD and OA = OC

Steps of construction :
1. Construct a ΔOBC such that
OB=12BD=12×5cm=2.5cm
OC=12AC=12×5.6cm=2.8cm
BC=4.5cm
2. Extend BO upto D, such that OD=OB=2.5cm and extend CO upto A, such that OA=OC=2.8cm
3. Join AB, AD and CD
​4. ABCD is the requaired parallelogram.


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