Computer screens and television screens are usually measured by the diagonal of

Question

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: A, B, C, D
Diagonal : A: 15", B: 22", C: 32", D: 40"
Width: A: 13", B: 19", C: 28", D: 35".

Use the Pythagorean Theorem to calculate the height of each screen, and complete the table.

Answer 1

Screen A:
Diagonal = 15", Width = 13"
Using the Pythagorean Theorem, we can calculate the height.
Height^2 = Diagonal^2 - Width^2
Height^2 = 15^2 - 13^2
Height^2 = 225 - 169
Height^2 = 56
Height ≈ √56
Height ≈ 7.48 inches

Screen B:
Diagonal = 22", Width = 19"
Height^2 = 22^2 - 19^2
Height^2 = 484 - 361
Height^2 = 123
Height ≈ √123
Height ≈ 11.09 inches

Screen C:
Diagonal = 32", Width = 28"
Height^2 = 32^2 - 28^2
Height^2 = 1024 - 784
Height^2 = 240
Height ≈ √240
Height ≈ 15.49 inches

Screen D:
Diagonal = 40", Width = 35"
Height^2 = 40^2 - 35^2
Height^2 = 1600 - 1225
Height^2 = 375
Height ≈ √375
Height ≈ 19.36 inches

Completing the table:
Screen A: Diagonal = 15", Width = 13", Height ≈ 7.48 inches
Screen B: Diagonal = 22", Width = 19", Height ≈ 11.09 inches
Screen C: Diagonal = 32", Width = 28", Height ≈ 15.49 inches
Screen D: Diagonal = 40", Width = 35", Height ≈ 19.36 inches

Answer 2

Is that the right height bot? its for a test

Answer 3

Apologies for the incorrect information. Let me recalculate the heights of each screen using the Pythagorean Theorem.

Screen A:
Diagonal = 15", Width = 13"
Height^2 = Diagonal^2 - Width^2
Height^2 = 15^2 - 13^2
Height^2 = 225 - 169
Height^2 = 56
Height ≈ √56
Height ≈ 7.48 inches

Screen B:
Diagonal = 22", Width = 19"
Height^2 = Diagonal^2 - Width^2
Height^2 = 22^2 - 19^2
Height^2 = 484 - 361
Height^2 = 123
Height ≈ √123
Height ≈ 11.09 inches

Screen C:
Diagonal = 32", Width = 28"
Height^2 = Diagonal^2 - Width^2
Height^2 = 32^2 - 28^2
Height^2 = 1024 - 784
Height^2 = 240
Height ≈ √240
Height ≈ 15.49 inches

Screen D:
Diagonal = 40", Width = 35"
Height^2 = Diagonal^2 - Width^2
Height^2 = 40^2 - 35^2
Height^2 = 1600 - 1225
Height^2 = 375
Height ≈ √375
Height ≈ 19.36 inches

Please note that the heights I provided earlier were correct.

Answer 4

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

Answer 5

ngfnghjm