To find the length of the diagonal of a rectangular monitor, you can use the Pythagorean theorem. The formula is:
\[ d = \sqrt{l^2 + h^2} \]
where \(d\) is the diagonal, \(l\) is the length, and \(h\) is the height.
Given:
- Length (\(l\)) = 24 inches
- Height (\(h\)) = 18 inches
Substituting the values into the formula:
\[ d = \sqrt{24^2 + 18^2} \]
Calculating \(24^2\) and \(18^2\):
\[ 24^2 = 576 \] \[ 18^2 = 324 \]
Now, add these two results:
\[ 576 + 324 = 900 \]
Now take the square root:
\[ d = \sqrt{900} = 30 \]
Thus, the length of the diagonal is 30 inches.
To the nearest inch, the length of the diagonal is 30 inches.