Computer screens and television screens are usually measured by the diagonal of the screen. For example, a screen of size 60 inches would have a diagonal of 60 inches, a width of 52 inches, and a height of 30 inches. Yoselin would like to install a new screen on a shelf that is 17 inches tall and 50 inches wide. She would like the screen to be the largest size that will fit on the shelf.

Question

Computer screens and television screens are usually measured by the diagonal of the screen. For example, a screen of size 60 inches would have a diagonal of 60 inches, a width of 52 inches, and a height of 30 inches. Yoselin would like to install a new screen on a shelf that is 17 inches tall and 50 inches wide. She would like the screen to be the largest size that will fit on the shelf.

A 7.48"

B 11.09"

C 15.49"

D 19.36"

Which screen is the largest that will fit on Yoselin’s shelf?

Answer 1

To determine the largest screen that will fit on Yoselin's shelf, we need to find the diagonal length of the shelf.

According to the Pythagorean theorem, the diagonal length can be found using the formula:

diagonal^2 = width^2 + height^2

Plugging in the values:

diagonal^2 = 50^2 + 17^2
diagonal^2 = 2500 + 289
diagonal^2 = 2789
diagonal ≈ √2789
diagonal ≈ 52.83

So, the largest screen that will fit on the shelf is approximately 52.83 inches.

Considering the given answer choices, the screen size closest to 52.83 is:

C) 15.49 inches

Therefore, option C) 15.49" is the largest screen that will fit on Yoselin's shelf.