Question

Construct the following quadrilaterals
(i) Quadrilateral $\text{DEAR}$
$\text{DE}=4\text{cm}$
$\text{EA}=5\text{cm}$
$\text{AR}=4.5\text{cm}$
$\angle \text{E}={60}^{\circ }$
$\angle \text{A}={90}^{\circ }$
(ii) Quadrilateral $\text{TRUE}$
$\text{TR}=3.5\text{cm}$
$\text{RU}=3\text{cm}$
$\text{UE}=4\text{cm}$
$\angle \text{R}={75}^{\circ }$
$\angle \text{U}={120}^{\circ }$

Answer 1

i)

1. Draw $EA$ of length $5cm$.

2. Draw an angle of $60$ degree on $E$ and cut an arc of $4cm$ on it. The point of intersection is $D$.

3. Draw an angle of $90$ degree on $A$ and cut an arc of $4.5cm$ on it. The point of intersection is $R$.

4. Join all the points.

$DEAR$ is the required quadrilateral.

ii)

1. Draw $RU$ of length $3cm$.

2. Draw an angle of $75$ degree on $R$ and cut an arc of $3.5cm$ on it. The point of intersection is $T$.

3. Draw an angle of $120$ degree on $U$ and cut an arc of $4cm$. The point of intersection is $E$.

4. Join all the points.

$TRUE$ is the required quadrilateral.