Question
Construct a parallelogram PQRS such that PQ = 5.2cm, PR = 6.8cm and QS = 8.2cm.
✓
Answer
In a parallelogram opposite sides are equal. Thus, we have to construct a quadrilateral PQRS in which PQ = 5.2cm, PR = 6.8cm and QS = 8.2cm.Steps of construction:
Step I: Draw QS = 8.2cm
Step II: With Q as the centre and radius 5.2cm, draw an arc.
Step III: With S as the centre and radius 5.2cm, draw an arc to intersect the arc drawn in Step II at C.
Step IV: With P as the centre and radius 6.8cm.
Step V: With Q as the centre and radius 5.2cm, 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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