Question
Find the diagonal length of a rectangular television with dimensions of 36in by 52in. Round your answer to the nearest tenth if neccesary(1 point)
Answers
GPT-4o mini
To find the diagonal length of a rectangular television, we can use the Pythagorean theorem. The formula is:
\[
d = \sqrt{l^2 + w^2}
\]
where \(d\) is the diagonal, \(l\) is the length, and \(w\) is the width. In this case, the dimensions of the television are 36 inches and 52 inches.
Plugging in the values:
\[
d = \sqrt{36^2 + 52^2}
\]
Calculating \(36^2\) and \(52^2\):
\[
36^2 = 1296
\]
\[
52^2 = 2704
\]
Now, add these two values:
\[
d = \sqrt{1296 + 2704} = \sqrt{4000}
\]
Calculating the square root:
\[
d \approx 63.2455532
\]
Rounding to the nearest tenth:
\[
d \approx 63.2 \text{ inches}
\]
Thus, the diagonal length of the television is approximately **63.2 inches**.
\[
d = \sqrt{l^2 + w^2}
\]
where \(d\) is the diagonal, \(l\) is the length, and \(w\) is the width. In this case, the dimensions of the television are 36 inches and 52 inches.
Plugging in the values:
\[
d = \sqrt{36^2 + 52^2}
\]
Calculating \(36^2\) and \(52^2\):
\[
36^2 = 1296
\]
\[
52^2 = 2704
\]
Now, add these two values:
\[
d = \sqrt{1296 + 2704} = \sqrt{4000}
\]
Calculating the square root:
\[
d \approx 63.2455532
\]
Rounding to the nearest tenth:
\[
d \approx 63.2 \text{ inches}
\]
Thus, the diagonal length of the television is approximately **63.2 inches**.