Question

Construct a trapezium $ABCD$ in which $AD||BC$, $\angle B={60}^o,AB=5cm.BC=6.2cm$ and $CD=4.8cm.$

Answer 1

Steps of construction:
(i) Draw a line segment $BC=6.2cm$
(ii) At $B$, draw a ray $BX$ making an angle of ${60}^o$ and cut off $AB=5cm$
(iii)From $A$, draw a line $AY$ parallel to $BC$.
(iv) With centre $C$ and radius $4.8cm$, draw an arc which intersects $AY$ at $D$ and $D^{{}^{\prime }}$.
(v) Join $CD$ and $C{D}^{{}^{\prime }}$
Thus, $ABCD$ and $ABC{D}^{{}^{\prime }}$ are the required two trapeziums.