Screen Diagonal Width Height
A 15” 13” 9.75”
B 22” 19” 14.25”
C 32” 28” 21”
D 40” 35” 26.25”
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. She knows the diagonal and width of the 4 screens listed below.
Screen Diagonal Width Height
A 15” 13”
B 22” 19”
C 32” 28”
D 40” 35”
1. Use the Pythagorean Theorem to calculate the height of each screen, and
complete the table.
3 answers
using that info, which screen is the largest that will fit on Yoselin’s shelf?
To determine which screen is the largest that will fit on Yoselin's shelf, we need to compare the height of each screen to the height of the shelf (17 inches).
Based on the calculations we made earlier, the heights of the screens are as follows:
Screen A: 7.48 inches
Screen B: 11.09 inches
Screen C: 15.49 inches
Screen D: 19.36 inches
Since the shelf is 17 inches tall, the screen that will fit on the shelf is the one with a height less than or equal to 17 inches.
Therefore, the largest screen that will fit on Yoselin's shelf is Screen C, with a height of 15.49 inches.
Based on the calculations we made earlier, the heights of the screens are as follows:
Screen A: 7.48 inches
Screen B: 11.09 inches
Screen C: 15.49 inches
Screen D: 19.36 inches
Since the shelf is 17 inches tall, the screen that will fit on the shelf is the one with a height less than or equal to 17 inches.
Therefore, the largest screen that will fit on Yoselin's shelf is Screen C, with a height of 15.49 inches.