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. Diagonal: 57in height: 30 in
To calculate the missing measurements, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.
Given:
Diagonal: 57 inches
Height: 30 inches
Step 1: Using the Pythagorean theorem, let's calculate the missing width:
Let W be the width.
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
Step 2: Solve for W:
Taking the square root of both sides, we get:
W = √(2349)
W ≈ 48.47
Rounded to the nearest whole inch, the width is 48 inches.
Therefore, the missing measurement is:
Width: 48 inches