Difference between revisions of "1975 USAMO Problems/Problem 2"

(New page: ==Problem== Let <math>A,B,C,D</math> denote four points in space and <math>AB</math> the distance between <math>A</math> and <math>B</math>, and so on. Show that <center><math>AC^2+BD^2+AD...)
(No difference)

Revision as of 17:11, 30 December 2008

Problem

Let $A,B,C,D$ denote four points in space and $AB$ the distance between $A$ and $B$, and so on. Show that

$AC^2+BD^2+AD^2+BC^2\ge AB^2+CD^2$.

Solution

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See also

1975 USAMO (ProblemsResources)
Preceded by
Problem 1
Followed by
Problem 3
1 2 3 4 5
All USAMO Problems and Solutions