Question

Find the diagonal of a rectangle whose length is 35 cm and breadth is 12 cm.

Answer 1

According to Pythagoras theorem, in ∆ABC

$$\begin{gathered} {\mathrm{AB}}^2+{\mathrm{BC}}^2={\mathrm{AC}}^2 \\ \Rightarrow {35}^2+{12}^2={\mathrm{AC}}^2 \\ \Rightarrow 1225+144={\mathrm{AC}}^2 \\ \Rightarrow {\mathrm{AC}}^2=1369 \\ \Rightarrow \mathrm{AC}=37\mathrm{cm} \end{gathered}$$

Hence, the length of the diagonal is 37 cm.