Question
Construct a quadrilateral ABCD in which AB = 3.8cm, BC = 3.0cm, AD = 2.3cm, AC = 4.5cm and BD = 3.8cm.

Answer


Steps of construction:
Step I: Draw AC = 6cm.
Step II: With A as the centre and radius 3.8cm, draw an arc.
Step III: With C as the centre and radius 3.0cm, draw an arc to intersect the arc drawn in Step II at B.
Step IV: With B as the centre and radius 3.8cm, draw an arc on the other side of AC.
Step V: With A as the centre and radius 2.3cm, draw an arc to intersect the arc drawn in Step IV at D.
Step VI: Join BA, DA, BC and CD to obtain the required quadrilateral.

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