113=x+y+z
x^2/y^2=3/4 y^2/z^2=4/5
x=sqrt(3)*y/2 z=y*sqrt(5)/2
y*(1+sqrt(3)/2+sqrt(5)/2)=113
y=226/(2+sqrt(3)+sqrt(5))
x=113*sqrt(3)/(2+sqrt(3)+sqrt(5))
z=113*sqrt(5)/(2+sqrt(3)+sqrt(5))
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Answers & Comments
113=x+y+z
x^2/y^2=3/4 y^2/z^2=4/5
x=sqrt(3)*y/2 z=y*sqrt(5)/2
y*(1+sqrt(3)/2+sqrt(5)/2)=113
y=226/(2+sqrt(3)+sqrt(5))
x=113*sqrt(3)/(2+sqrt(3)+sqrt(5))
z=113*sqrt(5)/(2+sqrt(3)+sqrt(5))