Question

If a TV has the following dimensions 48” wide, 27” height, and 55” diagonal. Respond to the following questions.

• If the TV is 5” wider and 3” higher, what is the new diagonal measurement? (Show work)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the new diagonal measurement, we can use the Pythagorean theorem.

Given:
Width (W) = 48 inches
Height (H) = 27 inches
Diagonal (D) = 55 inches

Let's denote the new width as W' and the new height as H'.

W' = W + 5 = 48 + 5 = 53 inches
H' = H + 3 = 27 + 3 = 30 inches

Using the Pythagorean theorem:
D' = sqrt(W'^2 + H'^2)
= sqrt(53^2 + 30^2)
≈ sqrt(2809 + 900)
≈ sqrt(3709)
≈ 60.9 inches

Therefore, the new diagonal measurement is approximately 60.9 inches.