Triangles: Theorems and Problems 29




Triangle, Medians, Six Circumcenters Concyclic.
Dynamic Geometry.
StepbyStep construction, Manipulation, and animation.
Prove proposition. 

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

Triangle: Incircle, Perpendicular, Angle Bisector.
Dynamic Geometry.
StepbyStep construction, Manipulation, and animation.
Prove proposition. 

Proposed Problem
133. Triangle, Angle Bisectors,
Collinear Points.


Proposed Problem
132.
Triangle, 60 degree, Orthocenter, Congruence, Midpoint.


Triangle with the bisectors of the
exterior angles. Collinearity. Key concept:
Menelaus Theorem.


Proposed Problem
131. Van Aubel Theorem, Concurrent Cevians, Sum of Ratios.


Proposed Problem
130. Triangle, Concurrent Cevians, Sum of Ratios.


Proposed Problem
129. Triangle, Concurrent Cevians, Sum of Ratios.


Proposed Problem
128. Incenter of a Triangle, Angle Bisectors, Sum of Ratios.

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