Construction of a Quadrilateral When Four Sides and One Diagonal Are Given
Construct a p...
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.