Question:
Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 3.3 cm, AD = 2.7 cm, diagonal AC = 4.6 cm and diagonal BD = 4 c
Solution:
Steps of construction:
Step 1: Draw $\mathrm{AB}=3.6 \mathrm{~cm}$.
Step 2: With B as the centre and radius equal to $4 \mathrm{~cm}$, draw an arc.
Step 3: With A as the centre and radius equal to $2.7 \mathrm{~cm}$, draw another arc, cutting the previous arc at D.
Step 4: Join BD and AD.
Step 5: With A as the centre and radius equal to $4.6 \mathrm{~cm}$, draw an arc.
Step 6: With B as the centre and radius equal to $3.3 \mathrm{~cm}$, draw another arc, cutting the previous arc at C.
Step 7: Join AC, BC and CD.
Thus, ABCD is the required quadrilateral.