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Question
Construct a parallelogram PQRS such that PQ = 5.2 cm, PR = 6.8 cm and QS = 8.2 cm.
Solution
In a parallelogram opposite sides are equal . Thus, we have to construct a quadrilateral PQRS in which
PQ = 5 . 2 cm, PR = 6 . 8 cm and QS = 8 . 2 cm .
Steps of construction:
Step I: Draw QS = 8 . 2 cm
Step II: With Q as the centre and radius 5 . 2 cm, draw an arc .
Step III: With S as the centre and radius 5 . 2 cm, draw an arc to intersect the arc drawn in Step II at C .
Step IV: With P as the centre and radius 6 . 8 cm .
Step V: With Q as the centre and radius 5 . 2 cm, draw an arc to intersect the arc drawn in Step IV at A .
Step VI: Join QR, QP, PS and SR .
The quadrilateral PQRS so obtained is the required quadrilateral .
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