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Question

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and   ABC= 60, can you draw a quadrilateral?



A

Yes

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B

No

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Solution

The correct option is A

Yes


Let us try to draw the quadrilateral:

Step 1: Draw BC = 6 cm.

Step 2: At B, draw an angle = 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 angle length constant ABC will change. So, there is only one quadrilateral ABCD with AB = 5 cm, BC = 6 cm, CD = 7 cm, BA = 6 cm,  ABC= 60.


Mathematics

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