a^2+b^2=d^2
b^2+c^2=e^2
c^2+a^2=f^2
d^2+e^2+f^2=g^2

2(a^2+b^2+c^2)=g^2

a=gsinθcosφ
b=gsinθsinφ
c=gcosθ

a=dcosφ
b=dsinφ
c=√(g^2-d^2)

a^2+b^2+c^2=g^2