Question

What is the length of the diagonal of a square monitor that is 16 inches wide and 16 inches high?

Answer 1

Answer:

22.63 inches

Step-by-step explanation:

Length of the square monitor = 16 inches

Width of the square monitor = 16 inches

Let the diagonal of the monitor = l inches

Then the square of the diagonal is given by sum of the squares of length and width.

$\[l^{2}=16^{2}+16^{2}\]$

$\[=> l^{2}=256+256\]$

$\[=> l^{2}=512\]$

$\[=> l=\sqrt{512}\]$

$\[=> l=22.63\]$

Hence the length of the diagonal is 22.63 inches.