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Question

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and ABC = 60, then it is possible to draw the quadrilateral ABCD.


A

Yes

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B

No

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Solution

The correct option is A

Yes


Step 1: Draw BC = 6 cm.

Step 2: At B, draw ABC=60. Along that angle make an arc of 5 cm and mark it as point A.

Step 3: From A, draw an arc of 6 cm.

Step 4: From C, draw an arc of 7 cm such that it intersects the arc made from A. Mark the point of intersection as D.

Step 5: Join ABCD to complete the quadrilateral.

Is this quadrilateral unique? Yes, it is.
If we move it keeping all the angles constant
ABC will change. Thus, there is only one quadrilateral ABCD with AB = 5 cm, BC = 6 cm, CD = 7 cm, BA = 6 cm, ABC = 60.


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