Answer:
Diagonal(D) of a square is given by:
[tex]D = \sqrt{2}a[/tex]
where, a is the length of one side of the square.
As per the statement:
Ashley draws a square that has a diagonal of 15 centimeters
⇒[tex]D = 15 cm[/tex]
then;
[tex]15 = \sqrt{2}a[/tex]
Squaring both sides we have;
[tex]225 = 2a^2[/tex]
Divide both sides by 2 we have;
[tex]112.5 = a^2[/tex]
or
[tex]a^2 = 112.5[/tex]
⇒[tex]a = \sqrt{112.50}= 10.6066017[/tex]
Therefore, the length of one side of the square (Rounded to the nearest tenth) is, 10.60 cm
