Question

Adjacent sides of a rectangle are 7 cm and 24 cm. Find the length of its diagonal.

Answer 1

In a rectangle, all the angles are equal to 90º.
On applying Pythagoras theorem in $△$ABD,
$$\begin{gathered} {\mathrm{AB}}^2+{\mathrm{AD}}^2={\mathrm{DB}}^2 \\ \Rightarrow {24}^2+7^2={\mathrm{DB}}^2 \\ \Rightarrow 576+49={\mathrm{DB}}^2 \\ \Rightarrow {\mathrm{DB}}^2=625 \\ \Rightarrow \mathrm{DB}=25\mathrm{cm} \end{gathered}$$
Thus, the length of the diagonal is 25 cm.