Answer:
The length side of the square is [tex]7\sqrt{2}\ cm[/tex]
Step-by-step explanation:
The question in English is
Find the measure of the side of a square whose diagonal is 14 cmd
Let
d ----> the diagonal of a square in cm
b ---> the length side of a square in cm
we know that
Applying the Pythagorean Theorem
see the attached figure to better understand the problem
[tex]d^2=b^2+b^2[/tex]
[tex]d^2=2b^2[/tex]
we have
[tex]d=14\ cm[/tex]
substitute the given value
[tex]14^2=2b^2[/tex]
solve for b
[tex]196=2b^2[/tex]
[tex]98=b^2[/tex]
take square root both sides
[tex]b=\sqrt{98}\ cm[/tex]
simplify
[tex]b=7\sqrt{2}\ cm[/tex]
