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Construct a Parallelogram Pqrs Such that Pq = 5.2 Cm, Pr = 6.8 Cm and Qs = 8.2 Cm. - Mathematics

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Question

Construct a parallelogram PQRS such that PQ = 5.2 cm, PR = 6.8 cm and QS = 8.2 cm.

Answer in Brief

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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Chapter 18: Practical Geometry (Constructions) - Exercise 18.1 [Page 4]

APPEARS IN

RD Sharma Mathematics [English] Class 8
Chapter 18 Practical Geometry (Constructions)
Exercise 18.1 | Q 4 | Page 4
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