# Intersection of a Plane and a Tetrahedron

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Let be a tetrahedron and let and be the midpoints of the edges and . Let a plane that contains the line intersect the edges and at points and . Then bisects .

Contributed by: Izidor Hafner (March 2017)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

A proof is described in [1, p. 126].

Reference

[1] V. V. Prasolov and I. F. Sharygin, *Problems in Stereometry* (in Russian), Moscow: Nauka, 1989.

## Permanent Citation

"Intersection of a Plane and a Tetrahedron"

http://demonstrations.wolfram.com/IntersectionOfAPlaneAndATetrahedron/

Wolfram Demonstrations Project

Published: March 15 2017