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Construct a Quadrilateral Abcd in Which Bc = 7.5 Cm, Ac = Ad = 6 Cm, Cd = 5 Cm and Bd = 10 Cm.

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Question

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

Answer in Brief
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Solution

Steps of construction: 

Step I: Draw AC = 6 cm . 

Step II: With A as the centre and radius 6 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 D as the centre and radius 10 cm, draw an arc on the other side of the line segment AC . 

Step V : With C as the centre and radius 7 . 5 cm, 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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