A TV screen is 17 inches wide and 12 inches tall. The size of a TV screen is determined by the length of its diagonal. We need to find the length of the diagonal and round it to the nearest inch.

1. Problem Description

A TV screen is 17 inches wide and 12 inches tall. The size of a TV screen is determined by the length of its diagonal. We need to find the length of the diagonal and round it to the nearest inch.

2. Solution Steps

We can use the Pythagorean theorem to find the length of the diagonal. The width and height of the screen form the two legs of a right triangle, and the diagonal is the hypotenuse.

$a^2 + b^2 = c^2$

Where $a$ is the width, $b$ is the height, and $c$ is the diagonal.

$17^2 + 12^2 = c^2$

$289 + 144 = c^2$

$433 = c^2$

$c = \sqrt{433}$

$c \approx 20.80865$

Rounding to the nearest inch, we get 21 inches.

3. Final Answer

The screen would be described as a 21-inch screen.