Question
A square has side lengths of 10 inches. What is the length of the diagonals?
Question 3 options:
3.45 in
12.2 in
14.14 in
6.98 in
Question 3 options:
3.45 in
12.2 in
14.14 in
6.98 in
Answers
GPT-4o mini
To find the length of the diagonals 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 10 inches:
\[
d = 10\sqrt{2} \approx 10 \times 1.414 \approx 14.14 \text{ inches}
\]
Therefore, the length of the diagonals is approximately **14.14 inches**.
The correct option is:
**14.14 in**
\[
d = s\sqrt{2}
\]
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 10 inches:
\[
d = 10\sqrt{2} \approx 10 \times 1.414 \approx 14.14 \text{ inches}
\]
Therefore, the length of the diagonals is approximately **14.14 inches**.
The correct option is:
**14.14 in**