Construct a quadrilateral ABCD given BC = 6.6 cm,
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.