Question

The 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 theorem states that in a right triangle, the square of the length of the hypotenuse (diagonal, in this case) is equal to the sum of the squares of the lengths of the other two sides (length and height).

Given:
- Length (L) = 24 inches
- Height (H) = 18 inches

The formula for the diagonal (D) is:

\[
D = \sqrt{L^2 + H^2}
\]

Now substitute the values into the formula:

\[
D = \sqrt{24^2 + 18^2}
\]
\[
D = \sqrt{576 + 324}
\]
\[
D = \sqrt{900}
\]
\[
D = 30
\]

Thus, the length of the diagonal is 30 inches.