If exty) (2+2) = a? (Y+z) Caty)= b? (2+2) (y + 2) =/? then x,y,2=9

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( (x+y)(x+z)=a^{2} ) ( 7 cdot x^{2}+x y+y z+x z=a^{2} ) ( (y+2)(x+y)=b^{2} ) ( Rightarrow g^{2}+x z+y z+z x=b^{2} ) ( (x+2)(y+2)=c^{2} ) ( z^{2}+y z+z x+x y=c^{2} ) 11 ( 0+mathbb{1 1}+(11)^{prime} ) ( x^{2}+y^{2}+z^{2}+z(x y+y z+z x)=a^{2}+b^{2}+c ) a ( (x+y+z)^{2}=a^{2}+b^{2}+c^{2} ) ( Rightarrow quad x+y+z=sqrt{a^{2}+b^{2}+c^{2}} )

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