3. Chromebook
Chromebook: 14 in; Height: ____; Width: 12 in.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.
To calculate the missing measurement, we can use the Pythagorean theorem.
Given: Diagonal = 14 in
Width = 12 in
Let the height be H.
Using the Pythagorean theorem, we have:
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 (rounded to two decimal places)
Therefore, the height is approximately 7 inches (rounded to the nearest whole inch).