Respuesta :

chikafujiwara

Answer:

12.7

Step-by-step explanation:

The diagonal formula is x*sqrt(2) with x being one side length.

To find the side length divide the perimeter by 4.

That gives us 9.

Then, all you have to do is multiply that by the square root of 2 and then round.

Using Pythagoras theorem to get the diagonal of a square. Then the length of a diagonal is 12.73 inches.

What is a square?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

Given

The perimeter of a square is 36 inches.

We know the perimeter of the square.

Perimeter = four times of sides

Then the side so a square will be

4 Side = 36

   Side = 9

Then the diagonal is calculated using the Pythagoras theorem.

[tex]\rm (Diagonal)^2 = (Side)^2 + (Side)^2\\\\(Diagonal)^2 = 9^2 +9^2\\\\(Diagonal)^2 = 81+81\\\\(Diagonal)^2 = 162\\\\(Diagonal) \ = 12.73[/tex]

Thus, the length of a diagonal is 12.73 inches.

More about the square link is given below.

https://brainly.com/question/13747846

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