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.