To find the length of the diagonal of a rectangular computer monitor with a length of 24 inches and a height of 18 inches, we can use the Pythagorean theorem. This theorem applies to right-angled triangles and states that:

$d = \sqrt{L^2 + H^2}$

Where:

• $d$ is the diagonal of the rectangle,
• $L$ is the length,
• $H$ is the height.

Given:

• $L = 24$ inches,
• $H = 18$ inches.

Let's calculate the diagonal.

$d = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30 \, \text{inches}$

So, the diagonal of the monitor is 30 inches.

Would you like more details or have any questions? Here are five related questions for further practice:

1. What is the diagonal of a monitor that has a length of 32 inches and a height of 20 inches?
2. How would the diagonal change if the height were increased to 20 inches but the length stayed the same?
3. If you know only the diagonal and one side of a rectangle, how can you find the other side?
4. How does the Pythagorean theorem apply to 3-dimensional shapes?
5. Can the Pythagorean theorem be used to find the diagonal of a square monitor?

Tip: For any right triangle, the diagonal acts as the hypotenuse, which is always the longest side.