Question

Then lengths of the sides of a square are 9 meters. Find the length of the of the diagonal of the square.

? square root of ?

Answer 1

12.73 meters

Explanation:

Let d be the length of the diagonal, and let s be the length of each side of the square. Then, we have:

d^2 = s^2 + s^2 (by the Pythagorean theorem)

d^2 = 2s^2

d = sqrt(2s^2) = sqrt(2) * s

Substituting s = 9 meters, we get:

d = sqrt(2) * s = sqrt(2) * 9 meters

d ≈ 12.73 meters

Therefore, the length of the diagonal of the square is approximately 12.73 meters