Question
Construct a quadrilateral ABCD in which AB = BC = 3cm, AD = CD = 5cm, and $\angle\text{B}=120^\circ.$

Answer


Steps of construction:
Step I: Draw AB = 3cm.
Step II: Construct $\angle\text{ABC}=120^\circ.$
Step III: With B as the centre and radius 3cm, cut off BC = 3cm.
Step IV: With C as the centre and radius 5cm, draw an arc.
Step V: With A as the centre and radius 5cm, draw an arc to intersect the arc drawn in Step IV at D.
Step VI: Join AD and CD to obtain the required quadrilateral.

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