Answered

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What is the length of a diagonal of a square with a side length of 8?

A. 4
B. [tex]$4 \sqrt{2}$[/tex]
C. [tex]$4 \sqrt{3}$[/tex]
D. [tex][tex]$8 \sqrt{2}$[/tex][/tex]

Please select the best answer from the choices provided:
A
B
C
D

Sagot :

GinnyAnswer
To find the length of the diagonal of a square with a given side length, you can use the following formula:

[tex]\[ \text{Diagonal} = \text{Side length} \times \sqrt{2} \][/tex]

For a square with a side length of 8, the calculation is as follows:

[tex]\[ \text{Diagonal} = 8 \times \sqrt{2} \][/tex]

Now, let's simplify this expression.

[tex]\[ 8 \times \sqrt{2} \approx 11.313708498984761 \][/tex]

Given the options:

A. 4

B. [tex]\(4 \sqrt{2}\)[/tex]

C. [tex]\(4 \sqrt{3}\)[/tex]

D. [tex]\(8 \sqrt{2}\)[/tex]

The best answer is:

D. [tex]\(8 \sqrt{2}\)[/tex]
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