SIMON-MARAIS 2017 B1
- Paper B
Maryam labels each vertex of a tetrahedron with the sum of the lengths of the three edges meeting at that vertex. She then observes that the labels at the four vertices of the tetrahedron are all equal.
For each vertex of the tetrahedron, prove that the lengths of the three edges meeting at that vertex are the three side lengths of a triangle.
Official text Simon Marais Mathematics Competition 2017 official paper, page 2. Quoted with source.
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