Question

. Use the Pythagorean Theorem to find the side length, s, of Square ABCD in
feet.
s = ________feet

Answer 1

To find the side length \( s \) of Square ABCD using the Pythagorean Theorem, we first need to know the relationship between the side length and the diagonal of the square. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the lengths of the two shorter sides is equal to the square of the length of the hypotenuse.

For a square, if \( s \) is the length of each side, the length of the diagonal \( d \) can be found using the formula derived from the Pythagorean Theorem:

\[
d = \sqrt{s^2 + s^2} = \sqrt{2s^2} = s\sqrt{2}
\]

If you have the length of the diagonal \( d \), you can solve for \( s \):

\[
d = s\sqrt{2} \implies s = \frac{d}{\sqrt{2}} = \frac{d \sqrt{2}}{2}
\]

Please provide the measurement of the diagonal or any other relevant information to calculate the side length \( s \). Without that specific information, I cannot determine the side length of Square ABCD.