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Question

Is it possible to construct a unique quadrilateral ABCD with AB = 3.6 cm, BC = 4 cm, AD= 5 cm, ABC = 80 and BAD = 120?


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 = 3.6 cm.

Step 2: At B, draw an angle of 80 and mark 4 cm along that angle. Mark the point as C.

Step 3: At A, draw an angle of 120 and mark 5 cm along that angle. Mark the point as D.

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


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