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

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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.

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.

It cannot be constructed as any of it's angles is not given