Formula for finding Diagonal of a square

We know what is a square in geometry and its properties. For finding area of square and perimeter of square we have formulas. When comes to diagonal of a square, does it has any formula? Yes it has the formula. Now we will see what is that formula for finding diagonal of a square.

Diagonal of a square formula:

First let us define a square. A quadrilateral which has all the sides equal and each angle is equal to 90 degrees is called square. A square contains two diagonals which are equal in length. Now in this concept we are going to learn how we can find diagonal of a square. So know the formula for length of diagonal of a square and also its proof that means how we got that formula.

Diagonal of a square formula:

Let PQRS be a square with ‘S ‘units as side.

Formula for finding Diagonal of a square:

PR is the diagonal in the above diagram.

Therefore, the diagonal PQ is given by  \sqrt { 2 } S units. Square root 2 value just take approximate value i.e. 1.414.

Proof for diagonal of a square formula:

Formula for finding Diagonal of a square:

PQR is a right angled triangle.

We know that according to right angled triangle hypotenuse square is equal to sum of squares of remaining two sides.

Formula for finding Diagonal of square

 

 

 

 

 

 

Therefore, the diagonal of square is \sqrt { 2 } S units.

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