Construct a quadrilateral PQRS in which PQ = 4.5 cm, QR = 5.6 cm, RS = 4.1 cm, ∠Q = 60° and ∠R = 120°.
Rectilinear Figures
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Question

Construct a quadrilateral PQRS in which PQ = 4.5 cm, QR = 5.6 cm, RS = 4.1 cm, ∠Q = 60° and ∠R = 120°.

KnowledgeBoat · Accepted Answer

Steps of construction: 1. Draw QR = 5.6 cm. 2. Construct ∠RQX = 60°. 3. With Q as centre and radius = 4.5 cm, draw an arc, cutting QX at P. 4. Construct ∠QRY = 120°. 5. With R as centre and radius = 4.1 cm, draw an arc, cutting arc RY at S. 6. Join SP. Hence, PQRS is required quadrilateral.

Mathematics

Construct a quadrilateral PQRS in which PQ = 4.5 cm, QR = 5.6 cm, RS = 4.1 cm, ∠Q = 60° and ∠R = 120°.

Rectilinear Figures

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