Question
A square has side lengths of 10 inches. What is the length of the diagonals?
Question 12 options:
12.2 in
6.98 in
14.14 in
3.45 in
Question 12 options:
12.2 in
6.98 in
14.14 in
3.45 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 side length of the square.
Given that the side length \(s = 10\) inches, we can substitute this value into the formula:
\[
d = 10 \sqrt{2}
\]
Calculating this,
\[
d \approx 10 \times 1.414 \approx 14.14 \text{ inches}
\]
Therefore, the length of the diagonals is approximately **14.14 inches**.
So the correct option is:
**14.14 in**
\[
d = s \sqrt{2}
\]
where \(d\) is the length of the diagonal and \(s\) is the side length of the square.
Given that the side length \(s = 10\) inches, we can substitute this value into the formula:
\[
d = 10 \sqrt{2}
\]
Calculating this,
\[
d \approx 10 \times 1.414 \approx 14.14 \text{ inches}
\]
Therefore, the length of the diagonals is approximately **14.14 inches**.
So the correct option is:
**14.14 in**