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Minimal distance from a point inside a triangle to vertices. (Posted on 2010-05-22) Difficulty: 4 of 5
Given a triangle whose angles are less than 120 degrees.

Find the point inside the triangle such that the sum of distances to all three vertices is minimum.

No Solution Yet Submitted by Vee-Liem Veefessional    
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Solution Solution | Comment 1 of 2

Let ABC be the given triangle. Construct
equilateral triangles ABC' and BCA'
externally on triangle ABC. The
intersection of AA' and CC' is the
Fermat point of triangle ABC and is
the desired point.

 


  Posted by Bractals on 2010-05-22 16:40:10
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