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Topic: construction of triangle of given perimeter, given point and angle
Replies: 16   Last Post: Jun 10, 2011 12:58 PM

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Joshua Zucker

Posts: 710
Registered: 12/4/04
minimum perimeter
Posted: Nov 7, 1997 4:03 PM
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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

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