Answer :

GIVEN : In quadrilateral PQRS ,

PQ = 3.5 cm

QR = 4 cm

RS = 5 cm

PS = 4.5 cm

QS = 6.5 cm

PROCEDURE :

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

Step 2 : Construct ΔPQS 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 4^{th} 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.

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