Use the spaces 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 your steps in the work the size of a screen is given by the length of its diagonal round your answer to the nearest whole inch. Height 10in width 7in
To calculate the missing measurement for each of the 6 types of screens, we are given the height and width of a screen. Let's proceed with the calculations.
1. Height (given): 10 inches
Width (given): 7 inches
Diagonal (missing): ?
To solve for the missing diagonal measurement, we can use the Pythagorean theorem since the length, height, and diagonal form a right triangle.
Using the Pythagorean theorem, we have the equation: diagonal^2 = height^2 + width^2
Plugging in the given values, we get:
diagonal^2 = 10^2 + 7^2
diagonal^2 = 100 + 49
diagonal^2 = 149
Taking the square root of both sides, we find:
diagonal ≈ √149
diagonal ≈ 12.21 inches (rounded to the nearest whole inch)
2. Height (given): 10 inches
Diagonal (given): 12 inches
Width (missing): ?
Using the Pythagorean theorem, we have the equation: diagonal^2 = height^2 + width^2
Plugging in the given values, we get:
12^2 = 10^2 + width^2
144 = 100 + width^2
44 = width^2
Taking the square root of both sides, we find:
width ≈ √44
width ≈ 6.63 inches (rounded to the nearest whole inch)
3. Width (given): 7 inches
Diagonal (given): 12 inches
Height (missing): ?
Using the Pythagorean theorem, we have the equation: diagonal^2 = height^2 + width^2
Plugging in the given values, we get:
12^2 = height^2 + 7^2
144 = height^2 + 49
95 = height^2
Taking the square root of both sides, we find:
height ≈ √95
height ≈ 9.75 inches (rounded to the nearest whole inch)
4. Height (given): 10 inches
Width (given): 7 inches
Diagonal (missing): ?
Following the same procedure as in step 1, we find:
diagonal ≈ √149
diagonal ≈ 12.21 inches (rounded to the nearest whole inch)
5. Height (given): 10 inches
Diagonal (given): 12 inches
Width (missing): ?
Following the same procedure as in step 2, we find:
width ≈ √44
width ≈ 6.63 inches (rounded to the nearest whole inch)
6. Width (given): 7 inches
Diagonal (given): 12 inches
Height (missing): ?
Following the same procedure as in step 3, we find:
height ≈ √95
height ≈ 9.75 inches (rounded to the nearest whole inch)
Thus, the missing measurements for all six types of screens are as follows:
1. Diagonal ≈ 12 inches
2. Width ≈ 7 inches
3. Height ≈ 10 inches
4. Diagonal ≈ 12 inches
5. Width ≈ 7 inches
6. Height ≈ 10 inches