Question:
Construct a quadrilateral ABCD given BC = 6.6 cm, CD = 4.4 cm, AD = 5.6 cm and ∠D = 100° and ∠C = 95°.
Solution:
Steps of construction :
Step I : Draw DC $=4.4 \mathrm{~cm}$.
Step II : Construct $\angle \mathrm{ADC}=100^{\circ}$ at D.
Step III : With D as the centre and radius $5.6 \mathrm{~cm}$, cut off DA $=5.6 \mathrm{~cm}$.
Step IV : Construct $\angle \mathrm{BCD}=95^{\circ}$ at C.
Step V : With C as the centre and radius $6.6 \mathrm{~cm}$, cut off CB $=6.6 \mathrm{~cm}$.
Step VI : Join AB.
The quadrilateral so obtained is the required quadrilateral.
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