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Mathematics

Construct a quadrilateral PQRS in which PQ = 4 cm, ∠P = 90°, QR = 4.3 cm, RS = 3.6 cm and SP = 3.2 cm.

Rectilinear Figures

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Answer

Steps of constructions :

  1. Draw PQ = 4 cm.

  2. Draw ∠QPX = 90°.

  3. With P as centre and radius = 3.2 cm, draw an arc, cutting PX at S.

  4. With Q as centre and radius = 4.3 cm, draw an arc.

  5. With S as centre and radius = 3.6 cm, draw another arc, cutting the previous arc at R.

  6. Join QR and RS.

Construct a quadrilateral PQRS in which PQ = 4 cm, ∠P = 90°, QR = 4.3 cm, RS = 3.6 cm and SP = 3.2 cm. Quadrilaterals, R.S. Aggarwal Mathematics Solutions ICSE Class 9.

Hence, PQRS is the required quadrilateral.

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