Chapter 12.8, Problem 12E

To determine

To place: The figure in the coordinate plane and find the length of diagonal.

Answer to Problem 12E

Thefigure in the coordinate plane is shown in Figure (1) and the length of diagonalis $1.414n\text{units}$ .

Explanation of Solution

The figure in the coordinate plane is shown below.

  

Figure (1)

The length of diagonal is calculated as,

  $\begin{array}{c}LN=\sqrt{{\left(n-0\right)}^2+{\left(n-0\right)}^2}\end{array}$

    $\begin{array}{c}=n\sqrt{2}\end{array}$

    $\begin{array}{c}=1.414n\text{units}\end{array}$

Therefore, the length of the diagonalis $1.414n\text{units}$ .