Answer
4.828 cm, 4.828 cm, 6.828 cm
Work Step by Step
$x^2+x^2=(x+2)^2$
$2x^2=x^2+2*x+x*2+2*2$
$2x^2=x^2+4x+4$
$x^2-4x-4=0$
$x=(-b±\sqrt {b^2-4ac})/2a$
$x=(-(-4)±\sqrt {(-4)^2-4*1*-4})/2*1$
$x=(4±\sqrt {16+16})/2$
$x=(4±\sqrt {2*16})/2$
$x=(4±4\sqrt {2})/2$
$x=(2±2\sqrt {2})$
We are talking about distances, so we want the positive square root.
$x=(2+2\sqrt {2})$
$x=2+2*1.414$
$x=2+2.828$
$x=4.828$