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 thecorrect position in the answer box. Release your mouse button

Answer 1

Since we have a right isosceles triangle,we have the following:

using the pythagorean theorem, we have:

`\begin{gathered} x^2+x^2=(12)^2 \\ \Rightarrow2x^2=144 \\ \Rightarrow x^2=(144)/(2)=72 \\ \Rightarrow x=\sqrt[]{72}=6\cdot\sqrt[]{2} \\ x=6\cdot\sqrt[]{2} \end{gathered}`

therefore, the length of each leg of the isosceles right triangle is 6*sqrt(2)