Construct a quadrilateral PQRS, in which PQ = 3 5 cm, QR = 2 5 cm, RS = 4 1 - Maths -

Question

Construct a quadrilateral PQRS, in which PQ = 3 5
cm, QR = 2 5 cm, RS = 4 1 cm, ∠Q =
75° and ∠R = 120°

Global Expert · Accepted Answer

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 PSThe quadrilateral so obtained is the required quadrilateral

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