Question
Construct a quadrilateral ABCD in which AB = 2.8cm, BC = 3.1cm, CD = 2.6cm, and DA = 3.3cm and $\angle\text{A}=60^\circ.$

Answer


Steps of construction:
Step I: Draw AB = 2.8cm.
Step II: Construct $\angle\text{BAD}=60^\circ.$
Step III: With A as the centre and radius 3.3cm, cut off AD = 3.3cm.
Step IV: With D as the centre and radius 2.6cm, draw an arc.
Step V: With B as the centre and radius 3.1cm, draw an arc to intersect the arc drawn in Step IV at C.
Step VI: Join BC and CD to obtained the required quadrilateral.

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