

Geometry: Median of a Triangle, Theorems and Problems

Median of a Triangle  Table of Content




Points, Theorems and Problems  Index.
Intersection Point. 

Median
length, Apollonius' Theorem 

Centroid /Barycenter. Index.
Medians.


GeoGebra, Dynamic Geometry:
Centroid
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) 

Symmedian (Lemoine)
Point
Symmedian is the line symmetric of the median with respect to the
bisector of the angle from which the median is drawn. 

Marion
Walter's Theorem: Triangle and Hexagon areas:
Using TracenPoche Dynamic Geometry Software.
Medians. 

NinePoint Center, NinePoint Circle, Euler Line.
Interactive illustration.
Median.


Heron's Formula with medians.
Medians. 

Newton's Theorem,
NewtonGauss Line: Complete quadrilateral theorem. Using TracenPoche
Dynamic Geometry Software, Online
StepbyStep construction, manipulation, and animation.
Medians. 

Feuerbach Points and NinePoint Circle with interactive
animation, manipulation, and stepbystep construction. 

Geometry Problem 1383. Triangle, Median, Circle, Chord, Secant, Sum, Product. 

Geometry Problem 1355.
Triangle, Midpoint, Median, Circle, Chord, Equal Product of measure of segments. 

Geometry Problem 1302.
Triangle, Median, Midpoint, Circles, Diameters, Congruence. 

Geometry Problem 1290.
Triangle, Internal Angle Bisector, Median, Parallel, Measurement, Metric Relations. 

Geometry Problem 1273.
Circle, Tangent, Secant, Midpoint, Isogonal Lines, Congruent Angles. 

Geometry Problem 1272.
Isosceles Triangle, Median, Midpoint, Perpendicular, 90 Degrees, Angles, Congruence. 

Geometry Problem 1263.
Triangle, Medians, 90 Degrees, Perpendicular. 

Geometry Problem 1262.
Isosceles Triangle, Altitude, Medians, 90 Degrees, Perpendicular. 

Geometry Problem 1128.
Right Triangles, Medians, Parallel, Angles, Congruence, Half the measure. 

Geometry Problem 1125.
Triangle, Four Equilateral Triangles, Centroid, Midpoint. 

Geometry Problem 1124.
Triangle, Median, Two Squares, Area. 

Geometry Problem
1053.
Triangle, Two Perpendicular Medians, Midpoint, Congruence. 

Geometry Problem
1007.
Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency. 

Geometry Problem 999.
Right Triangle, Midpoint, Median, Double Angle, Congruence. 

Geometry Problem 990.
Triangle, Incircle, Median, Cevian, Central Angle, Congruence, Circle, Secant, Midpoint,
Parallel. 

Geometry Problem 986.
Triangle, Median, Midpoint, Equal Angles, 45 Degrees. 

Geometry Problem 928.
Triangle, Midpoint, Median, Cevian, Concurrency, Area.


Geometry Problem 896
Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets 

Geometry Problem 870
Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint. 

Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence. 

Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence. 

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines. 

Geometry Problem
802
Scalene Triangle, Median, Perpendicular, Angle, Measurement. 

Geometry Problem
734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence, Midpoint. 

Geometry Problem
714.
Triangle, Parallel, Cevians, Midpoints, Median, Ceva Theorem. 

Geometry Problem 679.
Triangle, Circle, Median, Proportion. 

Problem
572.
Right triangle, Median, Circle, Diameter, Excircle, Tangent circles. 

Problem 528.
Triangle, Medians, Perpendicular, Measurement. 

Proposed Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity. 

Proposed Problem 263.
Triangle, Median, Altitude, Orthogonal Projection, Sides. 

Proposed Problem 255.
Triangle, Centroid, Vertices, a Point, Distances, Squares.
Median. 

Proposed Problem 254.
Triangle, Centroid, Vertices, a Point, Distances, Squares.
Median. 

Proposed Problem 253.
Triangle, Centroid, Vertices, Distances, Squares.
Midpoints. 

Proposed Problem 250.
Quadrilateral, sides, diagonals, midpoints, squares.
Median.


Proposed Problem 176.
Quadrilateral with Midpoints, Triangles, Median, Areas.


Proposed Problem 175.
Quadrilateral with Midpoints, Areas.


Proposed Problem 174.
Quadrilateral with Midpoints, Triangles, Median, Areas.


Proposed Problem 173.
Quadrilateral with Midpoints, Triangles, Median, Areas.


Proposed Problem 172. Trapezoid,
Midpoints, Quadrilaterals, Areas.


Proposed Problem 171. Trapezoid,
Midpoints, Triangles,
Median, Areas.


Proposed Problem 170. Trapezoid,
Midpoint, Triangle,
Median, Area.


Proposed Problem 161.
Parallelogram, Midpoints, Octagon,
Median, Areas.


Proposed Problem 151a>.
Quadrilateral, Area, Trisection of Sides.
Midpoints. 

Proposed Problem 150.
Quadrilateral, Area, Trisection of Sides.
Midpoints. 

PrProposed Problem 149.
Quadrilateral,
Median, Area, Midpoints.


Proposed Problem 148.
Quadrilateral,
Median, Area, Midpoints.


Proposed Problem 147.
Quadrilateral,
Median, Area, Midpoints, Triangle.


Proposed Problem 146>. V. Varignon's
Theorem: Quadrilateral, Midpoints, Parallelogram, Area, Perimeter. 

Trapezoid,
Triangle, Diagonals, Midpoints.
Dynamic Geometry.
StepbyStep construction, Manipulation, and animation.
Median. 

Proposed Problem 108. Angles,
Triangle, Median.
Median. 

Proposed Problem 98. Quadrilateral Area, Centroid, Similarity, Midpoints. 

ProProposed Problem 90.
Quadrilateral and Triangle Areas, Midpoints,
Median. 

Proposed Problem 89. Triangles of equal area, Midpoints, Median. 

Proposed Problem 88. Triangle and Quadrilateral Areas, Midpoints,
Median. 

Proposed Problem 87. Area of
Quadrilaterals and Midpoints of Diagonals,
Median. 

Proposed Problem 1:
Angles of a Triangle.
Median, Congruence. Hints are
provided. 

Proposed Problem 47.
Angles and triangles.
Median.


Proposed Problem 46.
Angles and triangles. Midpoints.







