Question

Quadrilateral PQRS with PQ = 3.5 cm, QR = 4 cm, RS = 5 cm, PS = 4.5 cm and QS = 6.5 cm

Answer 1

Steps of constructions:

Step 1 : draw a rough sketch of the quadrilateral PQRS with the given measurements.

Step 2 : Construct $△$ PQS using SSS construction property with PQ = 4.5 cm , PS = 4.5 cm and QS = 6.5 cm.

Step 3 : we have to locate the 4th vertex ‘R’ . It would be on the other side of QS. So , with center Q and radius 4 cm(QR = 4 cm) draw an arc and with center S and radius 5 cm (SR = 5 cm) draw another arc to cut the previous arc at R.

Step 4 : join S,R and Q,R to complete the quadrilateral PQRS.