Question:
Construct a quadrilateral ABCD in which AB = 4.2 cm, BC = 6 cm, CD = 5.2 cm, DA = 5 cm and AC = 8 cm.
Solution:
Steps of construction:
Step 1: Draw $\mathrm{AB}=4.2 \mathrm{~cm}$.
Step 2: With A as the centre and radius equal to $8 \mathrm{~cm}$, draw an arc.
Step 3: With B as the centre and radius equal to $6 \mathrm{~cm}$, draw another arc, cutting the previous arc at C.
Step 4: Join BC.
Step 5: With A as the centre and radius equal to $5 \mathrm{~cm}$, draw an arc.
Step 6: With C as the centre and radius equal to $5.2 \mathrm{~cm}$, draw another arc, cutting the previous arc at D.
Step 7: Join AD and CD.
Thus, ABCD is the required quadrilateral.