The answer will depend on what information about the square you have: its perimeter, area, length of diagonal.
Use Pythagoras' theorem to find the length of the diagonal in the square
Use Pythagoras. The diagonal, and two sides of the square form a right angled triangle. So if each side of the square is x cm long, the diagonal is x*sqrt(2) cm long.
To find the area of a square with a diagonal of 14, we first need to determine the length of one side of the square. Using the Pythagorean theorem, we can calculate that the side length is 7ā2. Then, we can find the area of the square by squaring the side length, which gives us 98 square units.
To find the diagonal of a square, we can use the formula for the diagonal of a square, which is d = sā2, where d is the diagonal length and s is the side length of the square. Given that the area of the square is 36, we can find the side length by taking the square root of the area, which is ā36 = 6. Substituting s = 6 into the formula, we get d = 6ā2. Therefore, the diagonal of the square with an area of 36 is 6ā2 units.
The answer will depend on what information about the square you have: its perimeter, area, length of diagonal.
Divide the length of the diagonal of a square by 1.4142 (which is the square root of 2) to find the length of a side. Similarly, to find the length of the diagonal of a square, multiply the length of a side by 1.4142.
Use Pythagoras' theorem to find the length of the diagonal in the square
As a square has right angles, the diagonal forms a right triangle with two of the sides of the square. Therefore use Pythagoras: diagonal² = side² + side² → diagonal² = 2side² → diagonal = side × √2 Therefore to find the length of the diagonal of a square, multiply the side length of a square by the square root of 2.
diagonal = square root ( side squared + side squared) = square root (2) x side (pythagorean theorem since angle is 90degrees)
The square has a diagonal measurement of: 1.13 km
You square the width and subtract it from the diagonal squared. Then find the square root of this number, this number is now the length.
To find the length of each diagonal of a square, divide the sum of the diagonal lengths by 2. Since a square has two diagonals of equal length, this division will give you the length of each diagonal.
Square the diagonal and take away the square of width, this gives you the square of the other side. Add the square root of the two sides and multiply by two.
It is the longest distance between two opposite corners of the square and it is possible to use Pythagoras' theorem to find the length of the diagonal
If you know the length of the side, multiply it by the square root of 2.
Use Pythagoras. The diagonal, and two sides of the square form a right angled triangle. So if each side of the square is x cm long, the diagonal is x*sqrt(2) cm long.