Q. 4

# Construct a parallelogram *PQRS* such that *PQ =* 5.2 cm, *PR* = 6.8 cm, and *QS* = 8.2 cm.

Answer :

As two diagonals and one side are given. Now for parallelogram opposite sides are equal.

Step 1- Step 1-Using SSS construction condition first we will construct ΔPQS. Draw line QS of length 8.2 cm.

Step 2- Then using compass take a length of half of diagonal QS, 4.1 cm and draw an arc by taking Q as a centre and label it as O. Now the same by taking O as centre and length half of diagonal PR, 3.4 cm draw an arc on both the sides of QS.

Step 3-Using compass take a length of 5.2 cm and draw an arc by taking Q as a centre on both the sides of QS.

Step 4- Join sides PQ, PS, QR, RS.

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