Construct a quadrilateral PQRS in which PQ = 3.5 cm, QR = 2.5 cm, RS = 4.1 cm, ∠ Q = 75° and ∠ R = 120°.

Question

Philoid · Accepted Answer

Steps of construction:

Step I: Draw QR = 2.5 cm.

Step II: Construct ∠PQR = 75°.

Step III: With Q as the center and radius 3.5 cm, cut off QP = 3.5 cm.

Step IV: Construct ∠QRS = 120.

Step V: With R as the center and radius 4.1 cm, cut off RS = 4.1 cm.

Step VI: Join PS.