In a given acute triangle 
, locate a point whose distances from 
, 
,
and 
have the smallest possible sum. The solution is the point from which each side subtends
an angle of 
,
known as the first Fermat point.
Fermat's Problem
See also
Acute Triangle, Fermat PointsExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Fermat's Problem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FermatsProblem.html