he length of any edge of a regular tetrahedron (a tetrahedron whose edges are equal in length is egular tetrahedron). Show that the angle between any edge and a face not containing the edge is
he length of any edge of a regular tetrahedron (a tetrahedron whose edges are equal in length is egular tetrahedron). Show that the angle between any edge and a face not containing the edge is
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.5: More Area Relationships In The Circle
Problem 9E
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Question
![EXAMPLE 3.23
Let k be the length of any edge of a regular tetrahedron (a tetrahedron whose edges are equal in length is
called a regular tetrahedron). Show that the angle between any edge and a face not containing the edge is
cos ¹(1/√3).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd9c6764-3201-48cd-8f2b-976333c64cde%2F3ba28a6f-bc37-4bcb-b2f2-1087691b4d24%2F60widuh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:EXAMPLE 3.23
Let k be the length of any edge of a regular tetrahedron (a tetrahedron whose edges are equal in length is
called a regular tetrahedron). Show that the angle between any edge and a face not containing the edge is
cos ¹(1/√3).
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