Math problem!

alalex

This problem requires a ful prove:

There are three cities, randomly displayed wherever you want. Find a point from which the sum of the distances is the smallest possible.

If someone gets it, I will donate 4 FRI$
Here is a picture:

igor123d

That point would have to be the center of a circle that circumscribes the triangle formed by the three points.

rein

this should explain it all thouroughly: The wikipedia page on circumcirles

SunburnedCactus

I love wikipedia. Who'd have thought that "The circumcenter's isogonal conjugate is the orthocenter." Awesome.

bladesage

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Hmm...it seems a bit obvious. It must be the dead center.

56 + 56 + 56 = 168