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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 $$\text{TRUE}$$
$$\text{TR} = 3.5\ \text{cm}$$
$$\text{RU} = 3\ \text{cm}$$
$$\text{UE} = 4\ \text{cm}$$
$$\angle \text{R} = 75^{\circ}$$
$$\angle \text{U} = 120^{\circ}$$


Solution

i)
1. Draw $$EA$$ of length $$5 \ cm$$.
2. Draw an angle of $$60$$ degree on $$E$$ and cut an arc of $$4\ cm$$ on it. The point of intersection is $$D$$.
3. Draw an angle of $$90$$ degree on $$A$$ and cut an arc of $$4.5\ cm $$ on it. The point of intersection is $$R$$.
4. Join all the points.
$$DEAR$$ is the required quadrilateral.

ii)
1. Draw $$RU$$ of length $$3\ cm$$.
2. Draw an angle of $$75$$ degree on $$R$$ and cut an arc of $$3.5\ cm$$ on it. The point of intersection is $$T$$.
3. Draw an angle of $$120$$ degree on $$U$$ and cut an arc of $$4\ cm$$. The point of intersection is $$E$$.
4. Join all the points.
$$TRUE$$ is the required quadrilateral.

595326_463397_ans_b2c8dac3d4d34a3f9648d3f076a5b112.png

Mathematics
NCERT
Standard VIII

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