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.
TV in someone’s living room
TV: 57 in; Height: 30 in.; Width: _____

1 answer

To calculate the width of the TV, we can use the Pythagorean theorem.

Let's denote the width of the TV as x inches.

According to the Pythagorean theorem, the sum of the squares of the width and height should be equal to the square of the diagonal.

So, we have:

x^2 + 30^2 = 57^2

x^2 + 900 = 3249

x^2 = 3249 - 900

x^2 = 2349

Taking the square root of both sides, we get:

x = √2349

x ≈ 48.46

Rounding to the nearest whole inch, the width of the TV is approximately 48 inches.