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Construct a Quadrilateral Abcd in Which Ab = Bc = 3 Cm, Ad = Cd = 5 Cm, and ∠B = 120°.

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Question

Construct a quadrilateral ABCD in which AB = BC = 3 cm, AD = CD = 5 cm, and ∠B = 120°.

Answer in Brief
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Solution

Steps of construction: 

Step I: Draw AB = 3 cm . 

Step II: Construct ∠ ABC = 120° . 

Step III : With B as the centre and radius 3 cm, cut off BC = 3 cm . 

Step IV: With C as the centre and radius 5 cm, draw an arc . 

Step V : With A as the centre and radius 5 cm, draw an arc to intersect the arc drawn in Step IV at D . 

Step VI: Join AD and CD to obtained the required quadrilateral .

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