Question

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

Answer 1

\[\text { Steps of construction: } \]

\[\text { Step I: Draw XZ = 9 cm }\]

\[\text { Step II: With X as the centre and radius 5 cm, draw an arc above XZ } . \]

\[\text { Step III: With Z as the centre and radius 6 cm, draw an arc to intersect the arc drawn in Step II at Y above XZ  }. \]

\[\text { Step IV: With Z as the centre and radius 7 cm, draw an arc below XZ .} \]

\[\text { Step V: With X as the centre and radius 3 cm, draw an arc to intersect the arc drawn in Step IV at W below XZ }. \]

\[\text { Step VI: Join XY, YZ, ZW and XW } . \]

\[\text { The quadrilateral WXYZ so obtained is the required quadrilateral } .\]