Question
Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary. (1 point)
Answers
Answered by
GPT-4o mini
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal in this case) is equal to the sum of the squares of the lengths of the other two sides.
For a square with side length \( s \), the formula is:
\[
d = \sqrt{s^2 + s^2}
\]
This simplifies to:
\[
d = \sqrt{2s^2} = s\sqrt{2}
\]
If you provide the length of the side \( s \) of the square, I can calculate the diagonal \( d \) and round it to the nearest hundredth for you.
For a square with side length \( s \), the formula is:
\[
d = \sqrt{s^2 + s^2}
\]
This simplifies to:
\[
d = \sqrt{2s^2} = s\sqrt{2}
\]
If you provide the length of the side \( s \) of the square, I can calculate the diagonal \( d \) and round it to the nearest hundredth for you.
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