A tetrahedron has vertices ABCD. Suppose that the plane y bisects the (internal) dihedral angle along edge AB and meets edge CD at G. Prove that CG (АВС) (ABD) %3D GD Notation: (ABC) denotes the area of triangle ABC.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 1E: Which of these two polyhedrons is concave? Note that the interior dihedral angle formed by the...
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A tetrahedron has vertices ABCD. Suppose that the plane y bisects the
(internal) dihedral angle along edge AB and meets edge CD at G. Prove
that
(ABC)
(ABD)
CG
GD
Notation: (ABC) denotes the area of triangle ABC.
Transcribed Image Text:A tetrahedron has vertices ABCD. Suppose that the plane y bisects the (internal) dihedral angle along edge AB and meets edge CD at G. Prove that (ABC) (ABD) CG GD Notation: (ABC) denotes the area of triangle ABC.
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