New!!: Median (geometry) and Automedian triangle In plane geometry, an automedian triangle is a triangle in which the lengths of the three medians (the line segments connecting each vertex to the midpoint of the opposite side) are proportional to the lengths of the three sides, in a different order. New!!: Median (geometry) and Apollonius's theorem Īrea is the quantity that expresses the extent of a two-dimensional figure or shape, or planar lamina, in the plane. In geometry, Apollonius's theorem is a theorem relating the length of a median of a triangle to the lengths of its side. New!!: Median (geometry) and Altitude (triangle) In geometry, an altitude of a triangle is a line segment through a vertex and perpendicular to (i.e., forming a right angle with) a line containing the base (the side opposite the vertex). New!!: Median (geometry) and Affine space In mathematics, an affine space is a geometric structure that generalizes the properties of Euclidean spaces in such a way that these are independent of the concepts of distance and measure of angles, keeping only the properties related to parallelism and ratio of lengths for parallel line segments. New!!: Median (geometry) and Acute and obtuse triangles Acute and obtuse trianglesĪn acute triangle is a triangle with all three angles acute (less than 90°). Ĥ4 relations: Acute and obtuse triangles, Affine space, Altitude (triangle), Apollonius's theorem, Area, Automedian triangle, Émile Lemoine, Bisection, Centroid, Ceva's theorem, Cevian, Circumscribed circle, Commandino's theorem, Compass-and-straightedge construction, Concurrent lines, Concyclic points, Deltoid curve, Encyclopedia of Triangle Centers, Equilateral triangle, Euler line, Incenter, Integer triangle, Isosceles triangle, Latin letters used in mathematics, Line segment, List of triangle inequalities, List of triangle topics, Locus (mathematics), Medial triangle, Median (disambiguation), Midpoint, Midpoint polygon, Nine-point hyperbola, Orthodiagonal quadrilateral, Parallelogram, Right triangle, Routh's theorem, Steiner inellipse, Stewart's theorem, Symmedian, Tetrahedron, The Method of Mechanical Theorems, Triangle, Van Lamoen circle. In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it.
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