Construct a quadrilateral ABCD given AD = 5 cm,

Question:

Construct a quadrilateral ABCD given AD = 5 cm, AB = 5.5 cm, BC = 2.5 cm, AC = 7.1 cm and BD = 8 cm.

Solution:

Steps of construction:

Step I : Draw $\mathrm{AB}=5.5 \mathrm{~cm} .$

Step II : With A as the centre and radius $7.1 \mathrm{~cm}$, draw an arc.

Step III : With B as the centre and radius $2.5 \mathrm{~cm}$, draw an arc to intersect the arc drawn in Step II at C.

Step IV : With B as the centre and radius $8 \mathrm{~cm}$, draw an arc.

Step V : With A as the centre and radius $5 \mathrm{~cm}$, draw an arc to intersect the arc drawn in Step IV at D.

Step VI : Join DA, DB, BC, AC and CD to obtained the required quadrilateral.

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