Question

he size of a rectangular computer monitor is determined by the length of its diagonal. If a computer monitor has a length of 24 inches and a height of 18 inches what is the length of its diagonal to the nearest inch

Answer 1

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**.