Consider a regular tetrahedron with vertices:
(0,0,0) , (k,k,0) , (k,0,k) , and (0,k,k)
a) sketch the graph of the tetrahedron
b) find the length of each edge
c) find the angle between any two edges
d) Find the angle between the line segments from the centroid ( k/2, k/2, k/2) to two vertices.
This provides an example of determining the length and angles in a tetrahedron.
Explain how to compute the volume of a regular tetrahedron of edge length 1.
Euclidean Geometry (II)
Computing the Volume of a regular tetrahedron of edge length 1
Explain how to compute the volume of a regular tetrahedron of edge length 1.View Full Posting Details