Median of a triangle
From AoPSWiki
A median of a triangle is a cevian of the triangle that joins one vertex to the midpoint of the opposite side.
In the following figure, 
is a median of triangle 
.
Each triangle has 3 medians. The medians are concurrent at the centroid. The centroid divides the medians (segments) in a 2:1 ratio.
Stewart's Theorem applied to the case
, gives the length of the median to side 
equal to 
is right, as by the Pythagorean Theorem we find that 
.
See Also
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