Question

Construct a rectangle has a width of $12$ cm, and a height of $5$ cm, what is the length of a diagonal?

• A. $13$ cm
• B. $12$ cm
• C. $15$ cm
• D. None of these

Answer 1

The correct option is A $13$ cm

$\Rightarrow$ Draw a line segment $AB=12cm$

$\Rightarrow$ Construct an angle of ${90}^{\circ }$ at points $A$ and $B$

$\Rightarrow$ Cut off $AD=5cm$ and $BC=5cm$

$\Rightarrow$ Join $CD$.

$\Rightarrow$ Thus, $ABCD$ is a required rectangle.

$\Rightarrow$ We have to measure the length of diagonals.

$\therefore$ $l\left(BD\right)=l\left(AC\right)=13cm$.