Question:
Construct a quadrilateral ABCD given AD = 3.5 cm, BC = 2.5 cm, CD = 4.1 cm, AC = 7.3 cm and BD = 3.2 cm.
Solution:
Steps of construction:
Step I: Draw $\mathrm{CD}=4.1 \mathrm{~cm}$.
Step II : With $\mathrm{C}$ as the centre and radius $7.3 \mathrm{~cm}$, draw an arc.
Step III : With D as the centre and radius $3.5 \mathrm{~cm}$, draw an arc to intersect the arc drawn in Step II at A.
Step IV : With D as the centre and radius $3.2 \mathrm{~cm}$, draw an arc on the other side of AC.
Step V : With C as the centre and radius $2.5 \mathrm{~cm}$, draw an arc to intersect the arc drawn in Step IV at B.
Step VI : Join BA, DA, BC and BD and AC to obtained the required quadrilateral.
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