Answer:
Length of side of square[tex]=\sqrt{170} [/tex]
Step-by-step explanation:
Sides of rectangle[tex]=12,14\ cm [/tex]
let [tex]x[/tex] be diagonal of rectangle
Pythagorean theorem : The square of hypotenuse is equal to sum of square of sides.
Here hypotenuse [tex]=x[/tex]
[tex]x^{2} =12^{2}+14^{2}\\x^{2} =144+196\\x^{2} =340\\x=\sqrt{340}[/tex]
Diagonal of square [tex]=\sqrt{340}[/tex]
let side of square[tex]=a[/tex]
again use pythagorean theorem
[tex]340=a^{2}+a^{a}\\2a^{2}=340\\a^{2}=170\\a=\sqrt{170}[/tex]
