Question:
Construct a quadrilateral ABCD in which AB = 2.9 cm, BC = 3.2 cm, CD = 2.7 cm, DA = 3.4 cm and ∠A = 70°.
Solution:
Steps of construction:
Step 1: Draw $A B=2.9 \mathrm{~cm}$
Step 2: Make $\angle A=70^{\circ}$
Step 3: With $A$ as the centre, draw an arc of $3.4 \mathrm{~cm}$. Name that point as $D$.
Step 4: With $D$ as the centre, draw an arc of $2.7 \mathrm{~cm}$.
Step 5: With $B$ as the centre, draw an arc of $3.2 \mathrm{~cm}$, cutting the previous arc at $C$.
Step 6: Join $C D$ and $B C$.
Then, $A B C D$ is the required quadrilateral.
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