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Can you construct a quadrilateral PQRS with PQ = 3 cm, RS = 3 cm, PS = 7.5 cm, PR = 8 cm and SQ = 4 cm? Justify your answer.

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We draw a rough sketch of quadrilateral PQRS. Quadrilateral PQRS cannot be drawn as we cannot draw the ∆QSP since


 

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