Dual Problems

by luimichael, Mar 3, 2019, 3:43 PM

A better understanding of the three problems:
Problem 1
Fermat point and the minimum of the sum of distances from the three vertices of a given triangle.
Problem 2
Finding the length of an equilateral triangle given the distances from a point to its vertices.
problem 3
A special system of equations
$x^2+xy+y^2 = a^2$
$y^2+yz+z^2=b^2$
$z^2+zx+x^2=c^2$.

They are basically the same problem in different interpretations! :idea:
This post has been edited 3 times. Last edited by luimichael, Mar 6, 2019, 8:29 PM
Reason: Colour of words changed

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