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Geometry: Median of a Triangle, Theorems and Problems
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Median of a Triangle - Table of Content
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Points, Theorems and Problems - Index.
Intersection Point. |
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Median
length, Apollonius' Theorem |
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Centroid /Barycenter. Index.
Medians.
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GeoGebra, Dynamic Geometry:
Centroid
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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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. |
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Marion
Walter's Theorem: Triangle and Hexagon areas:
Using TracenPoche Dynamic Geometry Software.
Medians. |
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Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.
Median.
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Heron's Formula with medians.
Medians. |
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Newton's Theorem,
Newton-Gauss Line: Complete quadrilateral theorem. Using TracenPoche
Dynamic Geometry Software, Online
Step-by-Step construction, manipulation, and animation.
Medians. |
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Feuerbach Points and Nine-Point Circle with interactive
animation, manipulation, and step-by-step construction. |
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Geometry Problem 1383. Triangle, Median, Circle, Chord, Secant, Sum, Product. |
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Geometry Problem 1355.
Triangle, Midpoint, Median, Circle, Chord, Equal Product of measure of segments. |
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Geometry Problem 1302.
Triangle, Median, Midpoint, Circles, Diameters, Congruence. |
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Geometry Problem 1290.
Triangle, Internal Angle Bisector, Median, Parallel, Measurement, Metric Relations. |
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Geometry Problem 1273.
Circle, Tangent, Secant, Midpoint, Isogonal Lines, Congruent Angles. |
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Geometry Problem 1272.
Isosceles Triangle, Median, Midpoint, Perpendicular, 90 Degrees, Angles, Congruence. |
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Geometry Problem 1263.
Triangle, Medians, 90 Degrees, Perpendicular. |
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Geometry Problem 1262.
Isosceles Triangle, Altitude, Medians, 90 Degrees, Perpendicular. |
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Geometry Problem 1128.
Right Triangles, Medians, Parallel, Angles, Congruence, Half the measure. |
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Geometry Problem 1125.
Triangle, Four Equilateral Triangles, Centroid, Midpoint. |
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Geometry Problem 1124.
Triangle, Median, Two Squares, Area. |
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Geometry Problem
1053.
Triangle, Two Perpendicular Medians, Midpoint, Congruence. |
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Geometry Problem
1007.
Hexagon, Midpoint, Triangle, Median, Centroid, Concurrency. |
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Geometry Problem 999.
Right Triangle, Midpoint, Median, Double Angle, Congruence. |
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Geometry Problem 990.
Triangle, Incircle, Median, Cevian, Central Angle, Congruence, Circle, Secant, Midpoint,
Parallel. |
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Geometry Problem 986.
Triangle, Median, Midpoint, Equal Angles, 45 Degrees. |
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Geometry Problem 928.
Triangle, Midpoint, Median, Cevian, Concurrency, Area.
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Geometry Problem 896
Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 870
Triangle, Median, Three Squares, Centers, Vertices, Collinear Points, Midpoint. |
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Geometry Problem 867
Isosceles Triangle, Median, Perpendicular, Angle, Congruence. |
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Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence. |
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Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines. |
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Geometry Problem
802
Scalene Triangle, Median, Perpendicular, Angle, Measurement. |
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Geometry Problem
734.
Triangle, Isosceles, Median, Parallel, Angle Bisector, Congruence, Midpoint. |
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Geometry Problem
714.
Triangle, Parallel, Cevians, Midpoints, Median, Ceva Theorem. |
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Geometry Problem 679.
Triangle, Circle, Median, Proportion. |
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Problem
572.
Right triangle, Median, Circle, Diameter, Excircle, Tangent circles. |
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Problem 528.
Triangle, Medians, Perpendicular, Measurement. |
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Proposed Problem 402.
Hexagon, Triangle, Centroid, Parallel, Congruence, Similarity. |
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Proposed Problem 263.
Triangle, Median, Altitude, Orthogonal Projection, Sides. |
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Proposed Problem 255.
Triangle, Centroid, Vertices, a Point, Distances, Squares.
Median. |
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Proposed Problem 254.
Triangle, Centroid, Vertices, a Point, Distances, Squares.
Median. |
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Proposed Problem 253.
Triangle, Centroid, Vertices, Distances, Squares.
Midpoints. |
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Proposed Problem 250.
Quadrilateral, sides, diagonals, midpoints, squares.
Median.
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Proposed Problem 176.
Quadrilateral with Midpoints, Triangles, Median, Areas.
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Proposed Problem 175.
Quadrilateral with Midpoints, Areas.
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Proposed Problem 174.
Quadrilateral with Midpoints, Triangles, Median, Areas.
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Proposed Problem 173.
Quadrilateral with Midpoints, Triangles, Median, Areas.
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Proposed Problem 172. Trapezoid,
Midpoints, Quadrilaterals, Areas.
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Proposed Problem 171. Trapezoid,
Midpoints, Triangles,
Median, Areas.
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Proposed Problem 170. Trapezoid,
Midpoint, Triangle,
Median, Area.
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Proposed Problem 161.
Parallelogram, Midpoints, Octagon,
Median, Areas.
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Proposed Problem 151a>.
Quadrilateral, Area, Trisection of Sides.
Midpoints. |
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Proposed Problem 150.
Quadrilateral, Area, Trisection of Sides.
Midpoints. |
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PrProposed Problem 149.
Quadrilateral,
Median, Area, Midpoints.
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Proposed Problem 148.
Quadrilateral,
Median, Area, Midpoints.
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Proposed Problem 147.
Quadrilateral,
Median, Area, Midpoints, Triangle.
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Proposed Problem 146>. V. Varignon's
Theorem: Quadrilateral, Midpoints, Parallelogram, Area, Perimeter. |
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Trapezoid,
Triangle, Diagonals, Midpoints.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Median. |
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Proposed Problem 108. Angles,
Triangle, Median.
Median. |
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Proposed Problem 98. Quadrilateral Area, Centroid, Similarity, Midpoints. |
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ProProposed Problem 90.
Quadrilateral and Triangle Areas, Midpoints,
Median. |
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Proposed Problem 89. Triangles of equal area, Midpoints, Median. |
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Proposed Problem 88. Triangle and Quadrilateral Areas, Midpoints,
Median. |
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Proposed Problem 87. Area of
Quadrilaterals and Midpoints of Diagonals,
Median. |
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Proposed Problem 1:
Angles of a Triangle.
Median, Congruence. Hints are
provided. |
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Proposed Problem 47.
Angles and triangles.
Median.
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Proposed Problem 46.
Angles and triangles. Midpoints.
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