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Question

Construct a quadrilateral ABCD such that AB = BC = 5.5 cm, CD = 4 cm, DA = 6.3 cm and AC = 9.4 cm. Measure BD.

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Solution

Steps of construction:Step I: Draw AB=5.5 cmStep II: With B as the centre and radius BC=5.5 cm, draw an arc.Step III: With A as the centre and radius AC=9.4 cm, draw an arc to intersect the arc drawn in Step II at C.Step IV: With C as the centre and radius CD=4 cm, draw an arc.Step V: With A as the centre and radius AD=6.3 cm, draw an arc to intersect the arc drawn in Step IV at D.Step VI: Join DA, BC, AC and CD.The quadrilateral ABCD so obtained is the required quadrilateral.



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