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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∘.

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