Diagonal of square 8 root 2. find length
side length of 8, if it's a square
x^2+y^2 = (8*sqrt2)^2.
y = x
x^2+x^2 = 128
2x^2 = 128
X = 8.
To find the length of the square, we need to determine the length of one of its sides.
In a square, the length of the diagonal is equal to the square root of 2 times the length of a side (according to the Pythagorean Theorem). So, we can write the equation as:
Diagonal = √2 * Side
Given that the diagonal is 8√2, we can substitute the value into the equation:
8√2 = √2 * Side
To find the length of the side, we can divide both sides of the equation by √2:
(8√2) / √2 = (√2 * Side) / √2
Simplifying the equation:
8 = Side
Therefore, the length of one side of the square is 8 units.