Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Find the side of a square whose diagonal is of the given measure.Given = ft.

Answer 1

see the figure below to better understand the problem

In the given square ABCD

Apply the Pythagorean Theoren in the right triangle BDC

`\begin{gathered} D^2=a^2+a^2 \\ D^2=2a^2 \\ we\text{ have} \\ D=12√(10)\text{ ft} \end{gathered}`

Substitute given value

`\begin{gathered} (12√(10))^2=2a^2 \\ 144(10)=2a^2 \\ 2a^2=1,440 \\ a^2=720 \\ a=√(720)\text{ ft} \end{gathered}`

Simplify

`a=12√(5)\text{ ft}`