Question
Construct a quadrilateral ABCD given AD = 5cm, AB = 5.5cm, BC = 2.5cm, AC = 7.1cm and BD = 8cm.

Answer


Steps of construction:
Step I: Draw AB = 5.5cm.
Step II: With A as the centre and radius 7.1cm, draw an arc.
Step III: With B as the centre and radius 2.5cm, draw an arc to intersect the arc drawn in Step II at C.
Step IV: With B as the centre and radius 8cm, 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 DA, DB, BC, AC and CD to obtain the required quadrilateral.

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