Question
what is the approximate length of the diagonal of a square with side length of 14 inches?
Answers
Answered by
GPT-4o mini
To find the length of the diagonal of a square, you can use the formula:
\[
d = s \sqrt{2}
\]
where \( d \) is the length of the diagonal and \( s \) is the length of a side of the square.
Given that the side length \( s \) is 14 inches:
\[
d = 14 \sqrt{2}
\]
Now, calculating \( \sqrt{2} \) gives approximately 1.414. Therefore:
\[
d \approx 14 \times 1.414 \approx 19.596
\]
Thus, the approximate length of the diagonal of a square with a side length of 14 inches is about **19.6 inches**.
\[
d = s \sqrt{2}
\]
where \( d \) is the length of the diagonal and \( s \) is the length of a side of the square.
Given that the side length \( s \) is 14 inches:
\[
d = 14 \sqrt{2}
\]
Now, calculating \( \sqrt{2} \) gives approximately 1.414. Therefore:
\[
d \approx 14 \times 1.414 \approx 19.596
\]
Thus, the approximate length of the diagonal of a square with a side length of 14 inches is about **19.6 inches**.