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

Answer


Steps of construction:
Step I: Draw BC = 4cm.
Step II: With B as the centre and radius 6.5cm, draw an arc.
Step III: With C as the centre and radius 5cm, draw an arc to intersect the arc drawn in Step II at D.
Step IV: With C as the centre and radius 5.6cm, draw an arc on the same side.
Step V: With D as the centre and radius 4.5cm, 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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