Um problema no tetraedro regular - Aula 23

High School 3rd Year Professor Eduardo Corrêa A problem in a regular tetrahedron - Lesson 23 Show that the sum of the distances from an interior point of a regular tetrahedron to its faces is constant (that is, it does not depend on the point). Calculate the radius of the sphere inscribed in the regular tetrahedron. Access more video lessons and all the material from the Mathematics Portal at http://matematica.obmep.org.br The rights to all the material in this channel belong to the Institute of Pure and Applied Mathematics, and the total or partial use of the content is prohibited without prior written authorization from the aforementioned holder, except in the cases provided for in current legislation. The rights over all the material in this channel belong to the Instituto de Matemática Pura e Aplicada, and it is forbidden to use all or part of it without prior written authorization from the aforementioned holder, except in the cases prescribed in the current legislation.