Question
Construct a quadrilateral ABCD in which AB = 3.8cm, BC = 3.4cm, CD = 4.5cm, AD = 5cm and $\angle\text{B}=80^\circ.$

Answer


Steps of construction:
Step I: Draw AB = 3.8cm.
Step II: Construct $\angle\text{ABC}=80^\circ.$
Step III: With B as the centre and radius 3.4cm, cut off BC = 3.4cm.
Step IV: With C as the centre and radius 4.5cm, draw an arc.
Step V: With A as the centre and radius 5.3cm, draw an arc to intersect the arc drawn in Step IV at D.
Step VI: Join AD, BC and CD to obtain the required quadrilateral.

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