Consider all segments dividing the area of a triangle
in two equal parts. Find the length of the shortest segment among them, if the side lengths
of triangle
are given. How many of these shortest segments exist ?
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Consider all segments dividing the area of a triangle $ABC$ in two equal parts. Find the length of the shortest segment among them, if the side lengths $a,$ $b,$ $c$ of triangle $ABC$ are given. How many of these shortest segments exist ?
Školjka