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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)
Bot GPT 3.5
answered
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.