Question

in a square one diagonal is 16 cm find the side of the following​

Answer 1

Answer:

The side of a square is $11.31$ cm.

Step-by-step explanation:

Given : Length of a diagonal = $16$ cm

To find : Side of a square =?

Solution :

• It is given that the length of a diagonal = $16$ cm
• We have to find the side of a square.
• We know that, square has four sides and the length of all the sides of a square is same.
• Diagonal of a square divide square into two isosceles right-angled triangle.

• We have a formula that,

      $d=a\sqrt{2}$

Where, $d$ is the diagonal and $a$ is the side of a square.

     ∴ $16=a\sqrt{2}$

      ∴ $a=\frac{16}{\sqrt{2}}$

      ∴ $a=11.31$ cm

• ∴ The side of a square is $11.31$ cm.

Answer 2

Answer:

The side of square = 11.315 cm

Step-by-step explanation:

Diagonal of Square = side x $\sqrt{2}$

16 cm = $side X \sqrt{2}$

$\frac{16}{\sqrt{2} }$ = side

16/1.414 = side

11.315 cm  = side