Question

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

Answer 1

Steps of construction: 

Step I: Draw QR = 2 . 5 cm . 

Step II: Construct ∠PQR = 75° at Q . \]

Step III : With Q as the centre and radius 3 . 5 cm, cut off QP = 3 . 5 cm . 

Step IV: Construct ∠QRS = 120° at R . 

Step V : With R as the centre and radius 4 . 1 cm, cut off RS = 4 . 1 cm . 

Step VI: Join PS

The quadrilateral so obtained is the required quadrilateral .