

Altitude of a Triangle, Theorems and Problems  Table of Content
4




Proposed Problem 135. Orthic
Triangle, Altitudes, Perpendicular, Parallel 

Proposed Problem 134. Orthic
Triangle, Altitudes, Angle Bisectors, Orthocenter, Incenter. 

Proposed Problem 91. Similar
Triangles, Altitudes, Parallel. 

Taylor Circle Theorem Feet of
each altitude.
Using TracenPoche Dynamic Software
StepbyStep construction, Manipulation, and animation.
Henry Martyn Taylor and the blind student of mathematics


Proposed Problem 79: Triangle.
Similarity, Altitudes, Orthocenter, Incircles, Inradii. 

Proposed Problem 70: Squares inscribed in a triangle, Similarity.
Altitude.


Proposed Problem 69: Square inscribed in a triangle, Similarity.
Altitude.


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

NinePoint Center, NinePoint Circle, Euler Line.
Interactive illustration.
Altitudes, Orthocenter.


Geometry Problem
800: de Gua's Theorem
Pythagorean theorem in 3D, Tetrahedron, Cubic Vertex, Triangular Pyramid, Apex, Height, Right Triangle Area, Base Area, Projected Area. 

Triangle and Squares 22
Altitudes 

Proposed Problem
51: Fagnano's Problem
Inscribed Triangle with the Minimum Perimeter.
Altitudes.


Right Triangles, Formulas and Facts
Pythagorean theorem, Similarity, Geometric mean,
hypotenuse, catheti (legs), semiperimeter, altitude, median,
similar shapes areas, centers, orthocenter, incenter,
centroid, circumcenter, radius, inradius, circumradius,
exradius, circles, incircle, circumcircle, excircle. 

Triangle and Squares
20
Altitude. 

Proposed Problem 49.
Right triangle, Altitude, Angles.

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