Question
Construct, if possible, a quadrilateral ABCD given AB = 6cm, BC = 3.7cm, CD = 5.7cm, AD = 5.5cm and BD = 6.1cm. Give reasons for not being able to construct it, if you cannot.
✓
Answer
Steps of construction:Step I: Draw AB = 6cm.
Step II: With A as the centre and radius 5.5cm, draw an arc.
Step III: With B as the centre and radius 6.1cm, draw an arc to intersect th arc drawn in Step II at D.
Step IV: With B as the centre and radius 3.7cm, draw an arc on the side.
Step V: With D as the centre and radius 5.7cm, draw an arc to intersect the arc drawn in Step IV at C.
Step VI: Join BD, DA, BC and CD. The quadrilateral ABCD so obtained is the required quadrilateral.
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