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.
The side lengths of a square with a diagonal of 16 is: 11.31.
The square's diagonal is 11.314 cm
The diagonal of a square = the length of one side x the square root of 2 (approx 1.414)
The length of a square with an area of 81 would be 9.
Given the length of the diagonal of the square ... call it 'D units'. The area of the square is (1/2 D2) (same units)2.
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.
The diagonal length = 7.07 inches.
The diagonal length of a square with a 900 square foot area is: 42.43 feet.
If the length of a side of the square is S units then the diagonal is S*sqrt(2) units in 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.
A square has 4 sides of equal length (say x). The diagonal length = x * (2)^0.5 = 1.414x, from Pythagorus's theorem. So, dividing the diagonal length by the square root of 2 will be the answer.
Use Pythagoras' theorem to find the length of the diagonal in the square
The side lengths of a square with a diagonal of 16 is: 11.31.
The square's diagonal is 11.314 cm
The diagonal length is about 20.59
The length of one side of a square with a 16-centimeter diagonal is: 11.31 cm
11.3137085 units