Question
Construct a quadrilateral ABCD in which AB = 7.7cm, BC = 6.8cm, CD = 5.1cm, AD = 3.6cm and $\angle\text{C}=120^\circ.$

Answer


Steps of construction:
Step I: Draw DC = 5.1cm.
Step II: Construct $\angle\text{DCB}=120^\circ.$
Step III: With C as the centre and radius 6.8cm, cut off BC = 6.8cm.
Step IV: With B as the centre and radius 7.7cm, draw an arc.
Step V: With D as the centre and radius 3.6cm, draw an arc to intersect the arc drawn in Step IV at A.
Step VI: Join AB and AD to obtained the required quadrilateral.

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