Question
Construct a trapezium $\text{ABCD}$ in which $AB = 3.5\ cm, BC = 6\ cm, CD = 3.5\ cm, AD = 4.4\ cm$ and $AD \| BC.$
✓
Answer
$AB = 3.5\ cm, BC = 6\ cm, CD = 3.5\ cm, AD = 4.4\ cm$ and $AD \| BC.$
Steps of construction:
$1)$ Draw $BC = 6\ cm$
$2)$ From $BC$, cut $BE = AD = 4.4\ cm$
$3)$ Draw a $\triangle DEC$, such that $DE = AB = 3.5\ cm$ and $CD = 3.5\ cm$
$4)$Taking $B$ and $D$ as centres and radii $3.5\ cm$ and $4.4\ cm$ respectively, draw arcs cutting each other at $A.$
$5)$ Join $AB$ and $AD.$
$6)\text{ABCD}$ is the required trapezium.
Steps of construction:
$1)$ Draw $BC = 6\ cm$
$2)$ From $BC$, cut $BE = AD = 4.4\ cm$
$3)$ Draw a $\triangle DEC$, such that $DE = AB = 3.5\ cm$ and $CD = 3.5\ cm$
$4)$Taking $B$ and $D$ as centres and radii $3.5\ cm$ and $4.4\ cm$ respectively, draw arcs cutting each other at $A.$
$5)$ Join $AB$ and $AD.$
$6)\text{ABCD}$ is the required trapezium.
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