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

1 answer

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.