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Question

Construct a parallelogram PQRS with PQ=4.5cm,QR=3cm and PQR=60.

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Solution


In paralleogram PQRS
PS=QR=3 cm and PQ=RS=4.5 cm

Steps for construction:

Step 1. Draw a line segment PQ=4.5 cm
Step 2. Construct an angle PQY=60 at Q.
Step 3. On the line QY, make QR=3 cm.
Step 4. With P as centre and radius =3 cm, draw an arc.
Step 5. With R as centre and radius =4.5 cm, draw an arc to cut the previous arc at S.
Step 6. Join PS and RS

Hence, PQRS is the required parallelogram.



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