Question

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

Answer 1

Answer:

The side of the square will be approximately 5.66 cm

Step-by-step explanation:

Here the length of diagonal of a square is given to be 8 cm

We have to find the length of the side of the square

The relation between the length of the diagonal and the side of the square is given below

diagonal = √2 × a ( where a is the side )

         8 = √2 × a

         a = 8/√2

         a = 5.657

           ≈ 5.66 cm

Answer 2

Answer:

∴ Length of side of a square is $5.65$ cm.

Step-by-step explanation:

In context with question asked,

• We have to find the side of the square.
• Here, the length of diagonal of a square = $8$ cm
• The relation between the length of the diagonal and the side of the square is given below,

Diagonal of a square = $\sqrt{2} \times a$ ( where, a is the side of a square )

                           $8=\sqrt{2} \times a$

                        ∴ $a=\frac{8}{\sqrt{2}}$

                        ∴ $a=5.65$ cm

• ∴ Length of side of a square is $5.65$ cm.