## Diagonal of square formula

The Diagonal of square formula d = √2 a, when an area is given. The diagonal of a square is a line component that connects with any two non-contiguous vertices. There are essentially two diagonals in a square that are similar in bisect and length to each other at right angles.

Moreover, the diagonal of the square formula is primarily utilized to compute the length of the square diagonal. You can only calculate it when you know its side length. It has two diagonals of the same length, which generally bisect the middle of the square. The proportion of a diagonal to a side is equal to another side. A standard pentagon has approx 5 diagonals which all have the same length.

## About the Topic

The meaning of the diagonal is something with diagonal lines. It is a line that joins one corner to the other corner and furthest away. For instance, the diagonal is a simple line that is going from the base left intersection of a square segment to its top-right corner.

You can calculate the length of the diagonal of the Rectangle with √(l^{2} + b^{2}) W, the length of the diagonal Square with a√2, length of the diagonal of the Cube with a√3, and the length of the diagonal of the Cuboid with √(l^{2} + b^{2} + h^{2}).

On the other hand, the square is made up of two diagonals. Each diagonal is created by hooking the square opposite vertices. You can easily determine it by following the below-given points which help you to know which square to connect to the diagonal properties.

The square diagonal lengths are equal.

Both diagonals are vertical intercepts of each other.

Also, they divide two congruent isosceles squares into right-angled triangles.

## Formula

d = √2a

In this formula, the ‘d’ word refers to the diagonal and another ‘a term is given to refer to the square side. The diagonal of a square formula is emanated using the Pythagoras theorem.

## Solved Examples

**1. What is a 12×12 square diagonal?**

The 12×12 square diagonal is 17. You will know from below how you find the Diagonal of a Square.

**Square Size Diagonal**

12″ 17″

12 1/2″ 17 5/8″

13″ 18 3/8″

13 1/2″ 19 1/8″, and so on.

**2. What is the length of the diagonal of a square, if the side is 14 units.**

The Diagonal of the square formula is d = a√2. So, let’s find it with, d = 14√2, so the answer is 19.8 units.