Answer :
Answer:
0.259 nm is the distance between the red and green balls.
Explanation:
Let the distance between the red and green ball be = RG =x
Let distance between blue and red ball = RB =y = 0.448 nm
Let distance between blue and green ball = GB = z
In triangle RGB
[tex]RB^2=RG^2+GB^2[/tex] ( Pythagoras theorem)
[tex]y^2=x^2+z^2[/tex]..[1]
In triangle GOB
[tex]GB^2=GO^2+OB^2[/tex] ( Pythagoras theorem)
GO = OB = sides of cube
[tex]x^2+x^2=z^2[/tex]
[tex]2x^2=z^2[/tex]..[2]
Using [2] in [1]:
[tex]y^2=x^2+2x^2[/tex]
[tex]y^2=3x^2[/tex]
[tex]x=\sqrt{\frac{y^2}{3}}=0.2586 nm\approx 0.259 nm[/tex]
0.259 nm is the distance between the red and green balls.
