To calculate the height of each screen using the Pythagorean Theorem, we can use the formula:
height^2 = diagonal^2 - width^2
For Screen A:
height^2 = (15^2) - (13^2)
height^2 = 225 - 169
height^2 = 56
height = √56
height ≈ 7.48 inches
For Screen B:
height^2 = (22^2) - (19^2)
height^2 = 484 - 361
height^2 = 123
height = √123
height ≈ 11.09 inches
For Screen C:
height^2 = (32^2) - (28^2)
height^2 = 1024 - 784
height^2 = 240
height = √240
height ≈ 15.49 inches
For Screen D:
height^2 = (40^2) - (35^2)
height^2 = 1600 - 1225
height^2 = 375
height = √375
height ≈ 19.36 inches
The calculated height of each screen is:
Screen A: approximately 7.48 inches
Screen B: approximately 11.09 inches
Screen C: approximately 15.49 inches
Screen D: approximately 19.36 inches