Construct a quadrilateral PQRS in which ∠ Q = 45° and ∠ R = 90°, QR = 5 cm, PQ = 9 cm and RS = 7 cm.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw QR = 5 cm.

Step II: Construct ∠PQR = 45°.

Step III: With Q as the center and radius 9 cm, cut off QP = 9 cm.

Step IV: Construct ∠QRS = 90°.

Step V: With R as the center and radius 7 cm, cut off RS = 7 cm.

Step VI: Join PS.