Question
Construct a quadrilateral ABCD in which BC = 7.5cm, AC = AD = 6cm, CD = 5cm and BD = 10cm.

Answer


Steps of construction:
Step I: Draw AC = 6cm.
Step II: With A as the centre and radius 6cm, 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 D as the centre and radius 10cm, draw an arc on the other side of the line segment AC.
Step V: With C as the centre and radius 7.5cm, draw an arc to intersect the arc drawn in Step IV at B.
Step VI: Join BA, DA, BC and CD to obtained the required quadrilateral.

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