College Geometry Online, eLearning

Mastering Medians and Triangles in Geometry: The Ultimate Collection of Theorems and Problems on gogeometry.com

Median of a triangle, IndexThis website provides a collection of problems and theorems related to medians and triangles in geometry. Some of the topics covered include the properties of medians, centroids, inequalities involving medians, and the relationship between medians and other elements of a triangle.

The website offers a variety of problems with detailed solutions, as well as interactive applets and videos to help students better understand the concepts. The problems range in difficulty from basic to advanced, making it a useful resource for both beginners and advanced learners of geometry.

Overall, this website is a great tool for anyone looking to improve their understanding of medians and triangles in geometry, and is particularly useful for students preparing for geometry competitions or exams.

Median of a Triangle - Table of Content

Point, Theorems and Problems, Index

Points, Theorems and Problems - Index.
Intersection Point.

Median Length theorem

Median length, Apollonius' Theorem

Centroid of a triangle Index

Centroid /Barycenter. Index.
Medians.

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

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
.

Nine-Point Center, Nine-Point Circle, Euler Line.
Interactive illustration.
Median.

Heron's Formula with medians.
Medians
.

Newton's Theorem, Newton-Gauss Line: Complete quadrilateral theorem. Using TracenPoche Dynamic Geometry Software, Online Step-by-Step construction, manipulation, and animation. Medians.

Feuerbach Points and Nine-Point Circle with interactive animation, manipulation, and step-by-step construction.

Geometry Problem 1522

Geometry Problem 1522 and a Thematic Poem.
Unlocking the Angle Measure of a Triangle with Median and Doubled Side Lengths.

Geometry Problem 1517

Geometry Problem 1517 and a Thematic Poem.
Unlocking Triangle Side Length: Solving with a Median and Two Angles. Difficulty Level: High School.

Geometry Problem 1512

Geometry Problem 1512 and a Thematic Poem.
Finding the Length of a Segment in a Triangle with a Median and a Cevian with Given Ratio. Difficulty Level: High School.

Problem 1383 Circle, Triangle

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

Geometry problem 1355

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

Geometry problem 1302

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

Geometry problem 1290

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

Geometry problem 1273

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

Geometry problem 1272

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

Geometry problem 1263

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

Geometry problem 1262

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

Geometry problem 1128

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

Geometry problem 1125

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

Geometry problem 1124

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

Geometry Problem 1053

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

Geometry Problem 1007

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

Geometry Problem 999

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

Geometry Problem 990

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

Geometry Problem 986

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

Problem 928

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

Geometry Problem 896

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

Geometry problem 867, Isosceles Triangle, Median, Perpendicular, Angle, Congruence

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

Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence

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

Problem 856: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines

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

Scalene Triangle, Median, Perpendicular, Angle, Measurement

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

Triangle, Median, Isosceles, Congruence, Parallel

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

Triangle, Parallel, Concurrent, Ceva, Midpoint

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

Triangle, Circle, Median, Proportion

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

Online Math: Geometry Problem 572, Right triangle and Circle

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

Triangle, Medians, Perpendicular

Problem 528.
Triangle, Medians, Perpendicular, Measurement.

Hexagon, Centroids

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

Problem 263: Triangle, Median Projection

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

Problem 254: Triangle and Centroid

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

Elearning 254: Triangle and Centroid

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

Elearning 253: Triangle, Centroid

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

Quadrilateral, diagonals, midpoints

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

Elearning 176: Quadrilateral Area Problem

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

Elearning 175: Quadrilateral Area Problem

Proposed Problem 175. Quadrilateral with Midpoints, Areas.  

Quadrilateral with Midpoints, Triangles Area

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

Quadrilateral with Midpoints, Triangles Area

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

Elearning 172: Trapezoid, Quadrilateral, Area

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

Elearning 172: Trapezoid, Midpoints, Quadrilaterals, Areas

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

Trapezoid, Triangle, Area

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

Elearning 161 Parallelogram and Octagon Areas

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

Quadrilateral area, trisection

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

Quadrilateral area, trisection

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

Quadrilateral Area, Midpoint, Elearning

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

Quadrilateral area, Midpoint, Elearning

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

Quadrilateral Area, Elearning

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

Quadrilateral Area, Midpoint

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

Trapezoid

Trapezoid, Triangle, Diagonals, Midpoints. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Median.

Problem 108. Elearning.

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

Quadrilateral Area, Elearning.

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

Geometry problem

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

Math problem

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

Math problem

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

Quadrilateral area problem

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.

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Last updated: Mar 15, 2123