Question

If the length of a diagonal of a square is 8cm, find the length of the side of the square​

Answer 1

Answer:

The length of the side of the square is ​4$\sqrt{2}$ cm

Step-by-step explanation:

Given : Diagonal of a square =  8 cm

            Side of the square = ?

Solution : Let X be the side of the square

Since all internal angles are 90°, the diagonal forms a right angled triangle

So according to pythogorous therom

diagonal² = side² + side²

          8² = X² + X²

        2X² = 64

         X² = 64/2

              = 32

         X = $\sqrt{32}$

            = $\sqrt{16 x 2}$

            = 4$\sqrt{2}$ cm