Question

Length of one of the diagonals of a rectangle whose sides are $10cm$ and $24cm$ is

• A. $25cm$
• B. $20cm$
• C. $26cm$
• D. $3.5cm$

Answer 1

The correct option is C

$26cm$

Find the length of the diagonal of the rectangle based on given information :

In a rectangle $PQRS$, consider $△QRS$.

It is a right angled triangle as

$\angle QRS={90}^{\circ }$ $(\because$ angle of a rectangle$)$

In right angled $△QRS$ by applying Pythagoras theorem, we get

$QS=\sqrt{Q{R}^2+S{R}^2}$

$\Rightarrow$ $QS=\sqrt{{10}^2+{24}^2}$

$\Rightarrow$ $QS=\sqrt{100+576}$

$\Rightarrow$ $QS=\sqrt{676}$

$\Rightarrow$ $QS=26cm$

Thus, the length of the diagonal of the rectangle is $26cm$

Hence option $\left(C\right)$ $26cm$, is the correct answer.