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Question

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw quadrilateral ABCD? If you can, will this quadrilateral be unique?


A

Yes;Yes

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B

Yes;No

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C

No;Yes

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D

No;No

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Solution

The correct option is B

Yes;No


Yes we can draw a quadrilateral ABCD with AB = 3 cm, BC = 4 cm, CD = 5 cm, DA = 6 cm, but this quadrilateral can't be unique. Suppose we draw BC = 4 cm and take an arc of radius 3 cm at B. Now, point A can be taken anywhere on the arc from where the quadrilateral can be completed. So, quadrilateral can't be unique.


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