the diagonal of a square equals square root 2 times the side lenght using 1.4 for the square root of 2 what is the approximate lenght in feet from one corner to an opposite corner of a square park that is 700 feet onn a side
The diagonal of a square is calculated by multiplying the square root of 2 by the length of one side. Given that the length of one side of the square park is 700 feet, we can calculate the length of the diagonal using the approximate value for the square root of 2 (1.4).
Diagonal = √2 * Side Length
Diagonal = 1.4 * 700
Diagonal ≈ 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.
To find the approximate length from one corner to an opposite corner of a square park with a side length of 700 feet, we can use the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides.
In this case, the side length of the square park is given as 700 feet, and we know that the diagonal is equal to the square root of 2 times the side length.
Using the given approximation for the square root of 2 as 1.4, we can calculate the length of the diagonal as follows:
Diagonal = √2 * Side Length
Diagonal = 1.4 * 700
Diagonal ≈ 980 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.