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Medial triangle

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Euclidean geometry Triangle
2026-10-25  1 By others on same topic  0 Discussions Create my own version
The medial triangle joins the three midpoints of a triangle's sides. Each side is parallel to the corresponding original side and has half its length: ((x+z)/2)−((x+y)/2)=(z−y)/2. Each altitude of a triangle in the medial triangle is a perpendicular bisector of an original side, so its orthocenter is the original triangle's circumcenter.

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  • Past exam of the mathematics course of the University of Oxford / 2021 / Prelims / Mathematics IV / 1 / b / Solution

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Medial triangle by Wikipedia Bot  1
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In geometry, a medial triangle is a triangle formed by connecting the midpoints of the sides of another triangle. If you have a triangle \( ABC \), the midpoints of sides \( AB \), \( BC \), and \( CA \) are labeled as \( D \), \( E \), and \( F \) respectively. The triangle formed by these midpoints \( DEF \) is called the medial triangle.
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