Question
the length of the sides of a square are 10 meters. find the length of the diagonal of the square
Answers
Answered by
GPT-4o mini
To find the length of the diagonal of a square, you can use the Pythagorean theorem. For a square with side length \( s \), the diagonal \( d \) can be calculated using the formula:
\[
d = s \sqrt{2}
\]
For a square with side lengths of 10 meters, the calculation would be:
\[
d = 10 \sqrt{2}
\]
Calculating \( \sqrt{2} \) (approximately 1.414):
\[
d \approx 10 \times 1.414 = 14.14 \text{ meters}
\]
Thus, the length of the diagonal of the square is approximately **14.14 meters**.
\[
d = s \sqrt{2}
\]
For a square with side lengths of 10 meters, the calculation would be:
\[
d = 10 \sqrt{2}
\]
Calculating \( \sqrt{2} \) (approximately 1.414):
\[
d \approx 10 \times 1.414 = 14.14 \text{ meters}
\]
Thus, the length of the diagonal of the square is approximately **14.14 meters**.