Construct a quadrilateral PQRS, in which ∠Q = 45°, ∠R = 90°, QR = 5 cm, PQ = 9 cm and Rs = 7 cm.
Steps of construction:
Step I: Draw QR = 5 cm .
Step II: Construct ∠PQR = 45° at Q .
Step III : With Q as the centre and radius 9 cm, cut off QP = 9 cm .
Step IV: Construct ∠QRS = 90° at R .
Step V : With R as the centre and radius 7 cm, cut off RS = 7 cm .
Since, the line segment PQ and RS intersect each other, the quadrilateral cannot be constructed .