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Construct a parallelogram PQRS with PR=3...

Construct a parallelogram PQRS with PR=3 cm , QS=4.2 cm, and the angle between the diagonals are equal to `75^(@)`,

Text Solution

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Step 1: Draw the diagonal PR=3 cm.
Step 2: Bisect PR to mark the mid-point as O.
Step 3: Construct an angle of `75^(@)` at O, such that `anglePOX=75^(@)`.
Step 4: Taking O as the center and radius `=1/2(QS) =1/2 xx 4.2 =2.1`cm, draw arcs on the angular line constructed in Step 3 to cut at Q and S.
Step 5: Join PQ, QR, RS and SP to obtain the required parallelogram PQRS.
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