Question
Construct a trapezium $\text{ABCD},$ when:$AB= CD = 3.2 \ cm, BC = 6.0 \ cm, AD = 4.4 \ cm$ and $AD \| BC.$
✓
Answer
Rough diagram $-$
Steps:
$1$. Draw $BC =6 \ cm$.
$2$. From $B C$ cut $B E=A D=4.4 \ cm$.
$3$. Draw triangle $D E C$ such that $D E=A B=2 \ cm$ and $C D=3.2 \ cm$.
$4$. Taking $B$ and $D$ as a center and radii $3.2 \ cm$ and $4.4 \ cm$ respectively, draw arcs cutting each other at $A$.
$5$. Join $A B$ and $A D$.
$\text{ABCD}$ is the required trapezium.
Construction $-$
Steps:
$1$. Draw $BC =6 \ cm$.
$2$. From $B C$ cut $B E=A D=4.4 \ cm$.
$3$. Draw triangle $D E C$ such that $D E=A B=2 \ cm$ and $C D=3.2 \ cm$.
$4$. Taking $B$ and $D$ as a center and radii $3.2 \ cm$ and $4.4 \ cm$ respectively, draw arcs cutting each other at $A$.
$5$. Join $A B$ and $A D$.
$\text{ABCD}$ is the required trapezium.
Construction $-$
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