By using Pythagoras:
diagonal2 = side2 + side2
= side2 x 2
=> diagonal = side x √2
In the simplest case, it is use to find the diagonal length of a unit square.
30 radical 2
The diagonal length of a square with a 900 square foot area is: 42.43 feet.
The diagonal of a unit square, for example, is radical(2).
The diagonal length of a square can be calculated using the formula (d = a\sqrt{2}), where (a) is the length of a side. For a 40x40 square, the diagonal length is (d = 40\sqrt{2}), which is approximately 56.57 units.
In the simplest case, it is use to find the diagonal length of a unit square.
It is believed that it arose as the measure of the diagonal of the unit square. By Pythagoras's theorem, the square of this length was 2, but when it turned out that this was not a rational number, it was expressed as a radical.
30 radical 2
in a square it is the side length radical 2
the diagnol is the side of the square times squareroot(2) so the length of the side is 11/squareroot(2) and in simplified form your final answer is 11*squareroot(2)/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.
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 diagonal length = 7.07 inches.
The diagonal length of a square with a 900 square foot area is: 42.43 feet.
The diagonal of a unit square, for example, is radical(2).
The diagonal length of a square can be calculated using the formula (d = a\sqrt{2}), where (a) is the length of a side. For a 40x40 square, the diagonal length is (d = 40\sqrt{2}), which is approximately 56.57 units.
If the length of a side of the square is S units then the diagonal is S*sqrt(2) units in length.