Date: Nov 7, 1997 4:03 PM
Author: Joshua Zucker
Subject: minimum perimeter

The question:
Given an acute triangle, find the inscribed triangle (with one point
on each side of the original triangle) of minimum perimeter.

The answer:
The triangle formed by the feet of the altitudes of the original
triangle has the smallest perimeter.

The proof:
I don't know yet.

--Joshua Zucker