Answer
2.414 m, 2.414 m, 3.414 m
Work Step by Step
$x^2+x^2=(x+1)^2$
$2x^2=x*x+x*1+1*x+1*1$
$2x^2=x^2+2x+1$
$x^2-2x-1=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-(-2)±\sqrt {(-2)^2-4*1*-1})/2*1$
$x=(2±\sqrt {8})/2$
$x=(2±\sqrt {2*4})/2$
$x=(2±2\sqrt {2})/2$
$x=(1±\sqrt {2})$
We are talking about distance, so we want the positive square root.
$x=1+\sqrt {2}$
$x=1+1.414$
$x=2.414$
