MathDB
2005 Geometry #7: Tetrahedron with _|_ sides

Source:

May 16, 2013
geometry3D geometrytetrahedronvector

Problem Statement

Let ABCDABCD be a tetrahedron such that edges ABAB, ACAC, and ADAD are mutually perpendicular. Let the areas of triangles ABCABC, ACDACD, and ADBADB be denoted by xx, yy, and zz, respectively. In terms of xx, yy, and zz, find the area of triangle BCDBCD.
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