Use the spaces provided below to calculate the missing measurement for each of the 6
types of screens. You are looking for the width, height, OR the diagonal. You must show
all steps in your work. The size of a screen is given by the length of its diagonal.
Round your answer to the nearest whole inch. Chromebook
Chromebook: 14 in; Height: ____; Width: 12 in.
4. HP Pavillion 15-e000 Series Laptop
Laptop: 18 in.; Height: _____; Width: 10 in.
5. TV in someone’s living room
TV: 57 in; Height: 30 in.; Width: _____
6. Movie Theater Screen
Theater Screen: 76 ft. Height: 30 ft.; Width:
____
show work for them all
1. Chromebook:
Using the Pythagorean theorem, we can find the height of the Chromebook.
Let the height be represented by "h" and the width by "w".
We know the width is 12 inches and the diagonal is 14 inches.
Using the formula: diagonal^2 = height^2 + width^2
14^2 = h^2 + 12^2
196 = h^2 + 144
h^2 = 196 - 144
h^2 = 52
h ≈ √52
h ≈ 7.21 inches (rounded to the nearest whole inch)
The height of the Chromebook is approximately 7 inches.
2. HP Pavilion 15-e000 series laptop:
Using the Pythagorean theorem, we can find the height of the laptop.
Let the height be represented by "h" and the width by "w".
We know the width is 10 inches and the diagonal is 18 inches.
Using the formula: diagonal^2 = height^2 + width^2
18^2 = h^2 + 10^2
324 = h^2 + 100
h^2 = 324 - 100
h^2 = 224
h ≈ √224
h ≈ 14.97 inches (rounded to the nearest whole inch)
The height of the HP Pavilion 15-e000 series laptop is approximately 15 inches.
3. TV in someone's living room:
Using the Pythagorean theorem, we can find the width of the TV.
Let the height be represented by "h" and the width by "w".
We know the height is 30 inches and the diagonal is 57 inches.
Using the formula: diagonal^2 = height^2 + width^2
57^2 = 30^2 + w^2
3249 = 900 + w^2
w^2 = 3249 - 900
w^2 = 2349
w ≈ √2349
w ≈ 48.47 inches (rounded to the nearest whole inch)
The width of the TV in someone's living room is approximately 48 inches.
4. Movie Theater Screen:
Using the Pythagorean theorem, we can find the width of the theater screen.
Let the height be represented by "h" and the width by "w".
We know the height is 30 feet and the diagonal is 76 feet.
Using the formula: diagonal^2 = height^2 + width^2
76^2 = 30^2 + w^2
5776 = 900 + w^2
w^2 = 5776 - 900
w^2 = 4876
w ≈ √4876
w ≈ 69.83 feet (rounded to the nearest whole foot)
The width of the movie theater screen is approximately 70 feet.