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Question

Construct a quadrilateral XYZW in which XY = 5 cm, YZ = 6 cm, ZW = 7 cm, WX = 3 cm and XZ = 9 cm.

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Solution

Steps of construction:Step I: Draw XZ=9 cmStep II: With X as the centre and radius 5 cm, draw an arc above XZ.Step III: With Z as the centre and radius 6 cm, draw an arc to intersect the arc drawn in Step II at Y above XZ.Step IV: With Z as the centre and radius 7 cm, draw an arc below XZ.Step V: With X as the centre and radius 3 cm, draw an arc to intersect the arc drawn in Step IV at W below XZ.Step VI: Join XY, YZ, ZW and XW.The quadrilateral WXYZ so obtained is the required quadrilateral.

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