Before going to know what is the diagonal of a square formula, first, let us recall what is diagonal. A diagonal of a polygon is a line segment that is obtained by joining any two non-adjacent vertices. In the following square, AC and BD are diagonals. The diagonal of square formula is derived using the Pythagoras theorem. Let us understand how to derive the formula to find the diagonal of a square.
What Is the Diagonal of Square Formula?
In a square, the lengths of both the diagonals are the same. The length of a diagonal, d of a square of side length 'x' is calculated using the Pythagoras theorem. Here consider the triangle ADC within the square.