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. (2 points each)
Screen
Diagonal
Width
Height
A
15”
13”
B
22”
19”
C
32”
28”
D
40”
35”
1. SHOW YOUR WORK: Use the Pythagorean Theorem to calculate the height of each screen, and complete the table. Round to the nearest hundredth.
Screen
Diagonal
Width
Height
A
15”
13”
7.04”
B
22”
19”
10.01”
C
32”
28”
15.36”
D
40”
35”
21.92”