Respuesta :

Answer:

[tex]4\sqrt{2}\\\\7\sqrt{2} \\\\13\sqrt{2}[/tex]

Step-by-step explanation:

Well the diagonal using pythagora's theorem:

[tex]x\sqrt{2}[/tex] where x is the lenght is the side of the square

so when x=4

[tex]4\sqrt{2}[/tex]

when x=7

[tex]7\sqrt{2\\}[/tex]

when x=13

[tex]13\sqrt{2}[/tex]

The length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].

Given side of squares.

We have to calculate the length of diagonal.

We know that in square shape,

length of diagonal [tex]=\sqrt{2} a[/tex], here a is the side of square.

So when square has a side of 4 then its diagonal becomes [tex]4\sqrt{2}[/tex].

when square has a side of 7 then its diagonal becomes [tex]7\sqrt{2}[/tex].

when square has a side of 13 then its diagonal becomes [tex]13\sqrt{2}[/tex].

Hence the length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].

For more details on length of diagonal of square follow the link:

https://brainly.com/question/16716787

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