techInterview Discussion

Given is a triangle ABC  with acute angles A, B and C.  Find the perimeter of a triangle whose vertices are located on the sides of the triangle ABC and whose perimeter is the smallest among all such triangles.

Error: set does not contain its infimum.

I suppose he meant one on each side.

This is a classic problem, elegantly solved by reflection, if I recollect correctly.

Anonical is right.  I meant exactly one vertex for each side of triangle ABC.