olymmath

USAMO 1983 Problem 4

  • Day 2

Show that one can construct (with ruler and compasses) a length equal to the altitude from A\mathrm{A} of the tetrahedron ABCDA B C D, given the lengths of all the sides. [So for each pair of vertices, one is given a pair of points in the plane the appropriate distance apart.]

Dataset text NuminaMath olympiads. Quoted with source.

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