Question 963669
The diagonal is the hypotenuse of a right triangle with sides of the square as legs. Let a=length of sides, d=diagonal:
{{{d^2=a^2+a^2}}}
{{{d^2=2a^2}}} Find the square root of each side.
{{{d=sqrt(2a^2)}}}
{{{d=sqrt(2)a}}}
ANSWER: The diagonal is the square root of 2 times the side.