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An Isosceles Triangle and its Steiner Foci (Posted on 2023-02-17) Difficulty: 4 of 5
An isosceles triangle has two congruent legs of length 1. The Steiner circumellipse of the triangle is then drawn, and the foci of the ellipse are marked.

Question 1: Is it possible for the foci to lie upon the pair of congruent legs of the triangle? If so, how long is the triangle's base?

Question 2: Is it possible for one focus to lie upon the base of the triangle? If so, how long is the triangle's base?

See The Solution Submitted by Brian Smith    
Rating: 5.0000 (1 votes)

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  Subject Author Date
SolutionSolutionJer2023-02-17 13:05:58
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