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1972 USAMO
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1972 USAMO
Problems
(1)
Isoceles Tetrahedron
Source: 1972 USAMO Problem 2
3/6/2010
A given tetrahedron
A
B
C
D
ABCD
A
BC
D
is isoceles, that is, AB\equal{}CD, AC\equal{}BD, AD\equal{}BC. Show that the faces of the tetrahedron are acute-angled triangles.
geometry
3D geometry
tetrahedron
inequalities
parallelogram
triangle inequality