Apply the past ingredient to find the length of the diagonal of the square round to the nearest 100th if necessary 8 4.24 4 2.83
To find the length of the diagonal of a square, you can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (in this case, the diagonal) is equal to the sum of the squares of the other two sides (which in this case are the sides of the square).
In this case, let's assume that "8" represents the length of one side of the square. Using the Pythagorean theorem, we can calculate the length of the diagonal as follows:
(diagonal)^2 = (side length)^2 + (side length)^2
(diagonal)^2 = 8^2 + 8^2
(diagonal)^2 = 64 + 64
(diagonal)^2 = 128
Taking the square root of both sides to find the length of the diagonal:
diagonal = √128
diagonal ≈ 11.31 (rounded to the nearest hundredth)
Therefore, the length of the diagonal of the square is approximately 11.31 when the length of one side is 8.