In a regular tetrahedron, prove that angle `theta` between any edge and the face not containing that edge is given by `cos theta = 1/sqrt3`.

In a regular tetrahedron, let theta be angle between any edge and a face not containing the edge. Then the value of cos^(2)theta is

In a regular tetrahedron, let theta be angle between any edge and a face not containing the edge. Then the value of cos^(2)theta is

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//sqrt(3)) .

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/sqrt(3))

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 angel between any edge and a face not containing the edge is cos^(-1)(1//sqrt(3)) .

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 angel between any edge and a face not containing the edge is cos^(-1)(1//sqrt(3)) .

Find the height of the regular pyramid with each edge measuring l cm. Also, if alpha is angle between any edge and face not containing that edge, then prove that cosalpha=1/sqrt3

find the height of the regular pyramid with each edge measuring l cm. Also, (i) if alpha is angle between any edge and face not containing that edge, then prove that cosalpha=1/sqrt3 (ii) if beta is the between the two faces, then prove that cosbeta=1/3

find the height of the regular pyramid with each edge measuring l cm. Also, (i) if alpha is angle between any edge and face not containing that edge, then prove that cosalpha=1/sqrt3 (ii) if beta is the between the two faces, then prove that cosbeta=1/3