Question
the length of the sides of a square are 10 meters. find the length of the diagonal of the square. (simplify in radical form if applicable)
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.
In your case, the length of the sides of the square \( s = 10 \) meters. Plugging this value into the formula gives:
\[
d = 10\sqrt{2}
\]
So, the length of the diagonal of the square in simplified radical form is:
\[
10\sqrt{2} \text{ meters}
\]
\[
d = s\sqrt{2}
\]
where \( d \) is the length of the diagonal and \( s \) is the length of a side of the square.
In your case, the length of the sides of the square \( s = 10 \) meters. Plugging this value into the formula gives:
\[
d = 10\sqrt{2}
\]
So, the length of the diagonal of the square in simplified radical form is:
\[
10\sqrt{2} \text{ meters}
\]