Are you looking for the formula for take 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 that if you obtain the value of one of them, you will in turn obtain that of the other. So don’t wait any longer and discover with aHowTo how to calculate the diagonal of a square.
Steps to follow:
1
First of all, it will be necessary that before learning to calculate the diagonal of a square you understand what is a diagonal. Thus, it is the line that joins two opposite vertices of a square, that is, they are not consecutive.
Thus, 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.
2
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. Thus, it will be necessary to develop the formula to get the value of the diagonal, not its square.
In this way, we must remember that the operation opposite 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, what is the same, the root of twice the side squared.
Since the elements within the root are multiplying each other, 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 of the side squared and, at that moment, we can cancel the root and 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
In order for you to understand it more clearly, we will take a practical example and we will apply the formula; So, suppose we have a square whose side is 6 cm:
d² = l² + l²
d² = 6² + 6²
If we develop the formula, we arrive at:
d = 6√2
And when performing the mathematical operation we obtain that the length of the diagonal of a square with a side 6 cm is 8.46 cm.
4
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