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 need either the height, width, or diagonal measurement for each screen. For the first screen, the missing measurement is the diagonal.
Using the Pythagorean theorem (a^2 + b^2 = c^2), where a and b are the height and width, respectively, and c is the diagonal, we can solve for c.
a = 10in (height)
b = 7in (width)
c = ?
10^2 + 7^2 = c^2
100 + 49 = c^2
149 = c^2
Taking the square root of both sides, we find:
c = √149
c ≈ 12.2
Rounding to the nearest whole inch, the diagonal of the first screen is approximately 12 inches.
For the remaining 5 screens, we need the missing measurement (height, width, or diagonal) to proceed with the calculations.