To determine the width of the screen, we can use the Pythagorean theorem since the diagonal, height, and width of the screen form a right triangle. The formula is:

$d^2 = w^2 + h^2$

Where:

• $d = 16.5$ inches (the diagonal of the screen),
• $h = 7.8$ inches (the height of the screen),
• $w$ is the width of the screen, which we need to find.

Now, substituting the known values into the equation:

$16.5^2 = w^2 + 7.8^2$

Let's solve for $w$.

$16.5^2 = 272.25, \quad 7.8^2 = 60.84$

$272.25 = w^2 + 60.84$

Subtract $60.84$ from both sides:

$272.25 - 60.84 = w^2$

$211.41 = w^2$

Now, take the square root of both sides to find $w$:

$w = \sqrt{211.41} \approx 14.54$

Therefore, the width of the screen is approximately 14.54 inches.

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. How do you use the Pythagorean theorem in different real-life applications?
2. What happens if the diagonal changes while keeping the height the same?
3. Can you calculate the aspect ratio of the screen based on the width and height?
4. What is the significance of the diagonal measurement in determining screen size?
5. How do different screen resolutions affect the quality of a 16.5-inch display?

Tip: The diagonal measurement of a screen is always larger than both its height and width due to the right triangle formed by these dimensions.