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Question

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, ABC= 40 and BCD= 55?


A

Yes, it is possible

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B

No, two such quadrilaterals can be constructed

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C

No, there can be infinite such quadrilaterals

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D

With the measure of an extra side, yes

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Solution

The correct option is A

Yes, it is possible


Step 1: Draw AB = 5cm.

Step 2: At B, draw an angle of 45 and mark 6 cm along that angle. Mark the point as C.

Step 3: At C, draw an angle of 55 and mark 7cm along that angle. Mark the point as D.

Step 4: Join points A and D. So, quadrilateral ABCD can be constructed.


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