Properties of Isosceles Tetrahedra
Properties of Isosceles Tetrahedra
An isosceles tetrahedron is a nonregular tetrahedron in which each pair of opposite polyhedron edges are equal; that is, , , . Then all the triangular faces are congruent, so that an isosceles tetrahedron can be classified as an isohedron. An isosceles tetrahedron is also called a disphenoid.
e=a
d=c
f=b
This Demonstration shows that in an isosceles tetrahedron, the three plane angles at each vertex sum to . Therefore, a net of an isosceles tetrahedron is a triangle similar to the faces of the solid, and the sides of the net are twice the sides of the faces.
π
N