Question

Construct a trapezium ABCD with dimesions: $AB=6cm,AD=4cm,CD=3cm$, $\angle DAB={90}^o$, and $AB\parallel CD$. What is the value of side BC?

• A. $5$cm
• B. $6$cm
• C. $5.5$cm
• D. None of these

Answer 1

The correct option is A $5$cm

$\Rightarrow$ Draw a line segment $AB=6cm$

$\Rightarrow$ Construct an angle of ${90}^{\circ }$ at point A.

$\Rightarrow$ Cut off $AD=4cm$

$\Rightarrow$ Draw a horizontal line through point D.

$\Rightarrow$ Cut off $CD=3cm$

$\Rightarrow$ $JoinBC$

$\Rightarrow$ Thus, $ABCD$ is required trapezium.

$\Rightarrow$ Measure the length of $BC$

$\therefore$ $l\left(BC\right)=5cm$