10 Nov
The Size is in the Eyes of the Beholder
Here is an engaging problem for all ages: Six points are given in the space such that the pairwise distances between them are all distinct. Consider the triangles with vertices at these points. Prove that the longest side of one of these triangles is at the same time the shortest side of another
(See, http://www.cut-the-knot.org/proofs/ShortestIsLongest.shtml)
No related posts.