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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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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.

Construct a quadrilateral PQRS in which PQ = 4.5 cm, QR = 5.6 cm, RS = 4.1 cm, ∠Q = 60° and ∠R = 120°. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

Hence, PQRS is required quadrilateral.

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