Let ABCD is a tetrahedron with its side called a,b,c,d,e,f.
Let M is a point inside that tetrahedron and x,y,z,t are distances
between M and each plan.
Let R is the radius of the tetrahedron?s circumscribed sphere.
Can you prove that:
sqrt(x) + sqrt(y) + sqrt(z) + sqrt(t) <= sqrt((a^2+b^2+c^2+d^2+e^2+f^2)/(2R))

- pictures: http://fa2f.t35.com/prob.htm

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Request for Question Clarification by tox-ga on 11 Feb 2005 09:06 PST

pleasehelpmepls-ga,

When you say "Let M is a point inside that tetrahedron and x,y,z,t are distances
between M and each plan.", "plan" actually means "plane", correct?

Cheers,
tox-ga

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Request for Question Clarification by tox-ga on 11 Feb 2005 09:17 PST

pleasehelpmepls-ga,

Also, am I correct in the assumption that the tetrahedron does not
have to be regular?

Cheers,
tox-ga