Question

The length of the longest piece of a string that can be stretched straight in a rectangular room whose dimensions are 10, 13 and 8 units are ____________________.

Answer 1

Since given dimensions are a = 10, b = 13 and c = 8
∴ Required length of the string is
$$\begin{gathered} \sqrt{a^2+b^2+c^2} \\ \mathrm{i}.\mathrm{e}\sqrt{{\left(10\right)}^2+{\left(13\right)}^2+8^2} \\ \mathrm{i}.\mathrm{e}\sqrt{100+169+64} \\ =\sqrt{333} \end{gathered}$$
i.e the length of the longest piece of a string that can be stretched straight in a rectangular room with dimensions 10, 13 and 8 are $\sqrt{333}$.