If the diagonal of a square is approximately 12.73, what is the length of its sides?

The length of the sides of the square is 9.0015

Step-by-step explanation:

Given

The diagonal of a square = 12.73

Required

The length of its side

Let the length and the diagonal of the square be represented by L and D, respectively.

So that

D = 12.73

The relationship between the diagonal and the length of a square is given by the Pythagoras theorem as follows:

Solving further, we have

Divide both sides by 2

Take Square root of both sides

Reorder

Now, the value of L can be calculated by substituting 12.73 for D

(Approximated)

Hence, the length of the sides of the square is approximately 9.0015