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Question

Construct a quadrilateral ABCD in which BC = 4 cm, CA = 5.6 cm, AD = 4.5 cm, CD = 5 cm and BD = 6.5 cm.

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Solution

Steps of construction:Step I: Draw BC=4 cm.Step II: With B as the centre and radius 6.5 cm, draw an arc.Step III : With C as the centre and radius 5 cm, draw an arc to intersect the arc drawn in Step II at D.Step IV: With C as the centre and radius 5.6 cm, draw an arc on the same side.Step V :With D as the centre and radius 4.5 cm, draw an arc to intersect the arc drawn in Step IV at A.Step VI: Join BA, AC, DA, BD and CD to obtained the required quadrilateral.

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