Question

the floor of a rectangular living room is 9 meters by 12 meters. what is the distance between opposite corners of the living room?

Answer 1

The distance between opposite corners refers to the diagonal, which we can find using Pythagorean's Theorem where the diagonal is the hypotenuse and the given dimensions are the legs.

`\begin{gathered} c^2=a^2+b^2 \\ c^2=(9m)^2+(12m)^2 \\ c=\sqrt[]{81m^2+144m^2} \\ c=\sqrt[]{225} \\ c=15 \end{gathered}`

Hence, the distance between opposite corners of the living room is 15 meters.