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