Question

construct a quadrilateral PQRS in which PQ = 3cm , OR = 2.5 cm, ps= 3.5 cm, pr= 4 cm and qs =5 cm​

Answer 1

Given:

PQ =3cm

QR =2.5cm

PS = 3.5cm

PR = 4cm

QS = 5cm

To find:

We need to construct the Quadrilateral for the given points.

Constructions:

1. First construct PQ = 3cm.
2. Now, taking P as center and construct arc for 4cm radius on right side.
3. Take Q as center and construct arc for 2.5cm radius, which meets the previous arc at R.
4. Now join PQ and QR.
5. Again take P as center and construct arc for 3.5cm radius on left side.
6. Take Q as center and construct arc for 5cm radius, which meets the previous arc at S.    
7. Join PS, QS and SR.              

      Therefore, PQRS is the required Quadrilateral.