MathDB

8

Part of 1996 Tuymaada Olympiad

Problems(1)

prove that a tetrahedron given lengths has both sphere inside and around it

Source: Tuymaada 1996 p8

4/27/2019
Given a tetrahedron ABCDABCD, in which AB=CD=13,AC=BD=14AB=CD= 13 , AC=BD=14 and AD=BC=15AD=BC=15. Show that the centers of the inscribed sphere and sphere around it coincide, and find the radii of these spheres.
geometry3D geometrysolid geometrytetrahedronsphere