# A parallelogram OKAY where OK=5.5 cm and KA=4.2cm.Is it unique?How to constuct it?

2
by ksatasattananu

## Answers

2015-10-06T23:18:40+05:30

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The parallelogram OKAY is not unique...    To be unique, the angle OKA  or another angle may be given.

construction.  Take any angle for OKA.

draw a horizontal line segment OK of length 5.5 cm.  At K draw a line inclined to OK at the angle  OKA.  Using your drawing instruments, draw an arc of radius KA = 4.2 cm cutting this inclined line.   The point of intersection is A.

From A draw a horizontal line parallel to OK through A.  Now draw an arc of radius 5.5 cm from A cutting this line.. That point is Y.  Join AY and YO.

done.
2015-10-09T15:18:28+05:30
It cannot be constructed as any of it's angles is not given