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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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ConceptConstructing a Quadrilateral When the Lengths of Four Sides and a Diagonal Are Given

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 .

  Is there an error in this question or solution?

APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 18: Practical Geometry (Constructions)
Ex. 18.1 | Q: 4 | Page no. 4
Solution Construct a Parallelogram Pqrs Such that Pq = 5.2 Cm, Pr = 6.8 Cm and Qs = 8.2 Cm. Concept: Constructing a Quadrilateral - When the Lengths of Four Sides and a Diagonal Are Given.
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