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 = 12*10^(1/2) ft.

Answer 1

We have to find the side of a square with a diagonal with length 12√10 ft.

We can sketch this as:

We can apply the Pythagorean theorem as:

`\begin{gathered} a^2+a^2=(12√(10))^2 \\ 2a^2=12^2\cdot10 \\ 2a^2=144\cdot10 \\ a^2=(144\cdot10)/(2) \\ a^2=720 \\ a=√(720) \\ a=√(16\cdot9\cdot5) \\ a=4\cdot3\cdot√(5) \\ a=12√(5) \end{gathered}`

Answer: the square side length is 12√5