Triangles: Theorems and Problems 22




Proposed Problem
232. Parallelogram, Line through a vertex, Perpendicular lines.


Proposed Problem
231. Triangle, Midpoints, Transversal, Perpendicular lines.


Proposed Problem
230. Triangle, Midpoints, Transversal, Perpendicular lines.


Proposed Problem
229. Triangle, Centroid, Transversal, Perpendicular lines. 

Proposed Problem
228. Triangle, Midpoints, Exterior line, Perpendiculars lines.


Proposed Problem
227. Triangle, Centroid, Exterior line, Perpendicular lines. 

Proposed Problem
226. Triangle, Centroid, Perpendiculars. 

Proposed Problem
224. Viviani's theorem, Isosceles triangle,
Altitude, Distances, Point on the extension of the base. 

Proposed Problem
223. Viviani's theorem, Isosceles triangle,
Altitude, Distances. 

Proposed Problem
222. Viviani's theorem, Equilateral triangle, Exterior point,
Distances. 

Proposed Problem
221. Viviani's theorem, Equilateral triangle, Interior point,
Distances. 

Lune of Hippocrates Index.


Proposed Problem
220. Right Triangle, Altitude, Angle Bisector, Distance, Arithmetic Mean.


Proposed Problem
218. Right triangle, Altitude and Projections.


Proposed Problem
217. Right triangle, Altitude and Projections.


Proposed Problem
216. Quadrilateral, Angle Bisectors, and Concurrency.


Journey to the Center of a Triangle (1976).
Incenter, Circumcenter, Centroid, Orthocenter.


Congruent Triangles: SAS, SSS, ASA.
Demonstrates with animation the various relationships of angles and sides to congruency in triangles.


Proposed Problem
213. Triangle, Incircle, Inradius, Semicircles, Common Tangents. 

Proposed Problem
212. 120 Degree Triangle, Equilateral triangles, Areas.

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