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.
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
Use Pythagoras' therom: 32+32 = 18 The square root of 18 is 4.242640687 units which is the length of the diagonal.