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  "body": "\n## Definition\n\nLet $ABC$ be a [[triangle|0CTNFGYMM2]] in the Euclidean space $\\mathbb{R}^n$. Let $M_A$ be the [[midpoint|0S706JBZBG]] of $B$ and $C$.\nThe median from $A$ is the segment $\\{\\, A + t (M_A - A) : t \\in [0, 1] \\,\\}$ from $A$ to $M_A$. The medians from $B$ and from $C$ are defined in the same way, with the midpoints of $CA$ and of $AB$.\n\n## Remarks\n\nSome texts call the whole line through $A$ and $M_A$ the median.\nThe three medians meet at the [[centroid|0X7EEWES5G]]. See [[the medians meet at the centroid|0GPQ67XV7N]].\nEach median divides the triangle into two triangles of equal area.\n[[Apollonius's theorem|0NAKHQ9XYY]] gives the length of a median from the side lengths.\n\n## Explanations\n\n### L1 human\n\nJoin a corner of a triangle to the middle of the opposite side. The segment is a median. If the triangle is a thin plate of uniform material, it balances on each median.\n",
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