How to calculate the diagonal of a square

Are you looking for the formula to draw the diagonal of a square ? The truth is that it is a simple operation, but it is necessary to understand in order to apply it and obtain this value correctly. Every square has two diagonals of the same length, so if you get the value of one of them, you will get the value of the other. So do not wait any longer and discover how to calculate the diagonal of a square.

Steps to follow:

one

In the first place, it will be necessary that before learning to calculate the diagonal of a square you understand what a diagonal is . Thus, it is the line that joins two opposite vertices of a square, that is, they are not consecutive.

So, every square will have two diagonals, since this geometric figure has four vertices. At the same time, both will have the same size and, when calculating a diagonal of a square, we will also obtain the value of the other.

two

To calculate the diagonal of a square, we must apply the formula:

d² = l² + l²

According to which the square of the diagonal of a square is equal to the sum of the square of its sides. So, it will be necessary to develop the formula to get the value of the diagonal, not its square.

Thus, we must remember that the opposite operation to the square is the square root, in such a way that the diagonal will be equal to the square root of the sum of the square of the sides or, which is the same, the root of the double of the side squared.

As the elements inside the root are multiplying together, we can separate them into two roots in such a way that the diagonal of the square will be equal to the root of two multiplied by the root from the side to the square and, at that moment, we can cancel the root and the square and finally obtain the formula according to which the diagonal is equal to the length of the side of the square multiplied by the square root of two:

d = l√2

3

So that you can understand it more clearly, we will take a practical example and apply the formula; so, suppose we have a square whose side measures 6 cm:

d² = l² + l²

d² = 6² + 6²

If we develop the formula, we come to:

d = 6√2

And when performing the mathematical operation we obtain that the length of the diagonal of a square of 6 cm of side is of 8, 46 cm.