Median of a triangle
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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 medians. The medians are concurrent at the centroid. The centroid divides the medians (segments) in a ratio.
Stewart's Theorem applied to the case , gives the length of the median to side equal to
This formula is particularly useful when is right, as by the Pythagorean Theorem we find that . This occurs when is the circumcenter of
See Also
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