Online Geometry

Online Geometry: Triangle Centers, Theorems and Problems Index, Page 3

Triangle Centers - Table of Content 3

The School of Athens

Elearning triangle 156

Proposed Problem 156. Triangle, Circumradius, Exradius, Chord, Secant line.  

Elearning 155

Proposed Problem 155. Euler's Theorem: Distance from the Incenter to the Circumcenter.  

Elearning 154

Proposed Problem 154. Triangle, Inradius, Circumradius, Chord.

Geometry Problem 145. Elearning Triangle

Proposed Problem 145. Four Triangles, Incircle, Tangent and Parallel to Side, Incenters, Circumcenters.  

Geometry problem 144 Triangle

Proposed Problem 144. Four Triangles, Incircle, Tangent and Parallel to Side, Inradii.

Geometry problem 143

Proposed Problem 143. Four Triangles, Incircle, Tangent and Parallel to Side, Circumradii.

Elearning 142: Triangle area

Proposed Problem 142. Four Triangles, Incircle, Tangent and Parallel to Side, Areas.  

Elearning 141

Proposed Problem 141. Triangle, Incircle, Tangent , Parallel, Perimeters.

Elearning 140

Proposed Problem 140. Triangle, Excircle, Tangent, Semiperimeter.

Elearning 139: Triangle Area

Proposed Problem 139. Triangle Area, Orthic Triangle, Semiperimeter, Circumradius.  

Nagel Theorem

Proposed Problem 138. Nagel's Theorem, Orthic Triangle, Altitudes, Circumradius, Perpendicular.  

Geometry Problem 137

Proposed Problem 137. Orthic Triangle, Altitudes, Perpendicular, Incircle, Collinear Points, Parallelogram.  

Geometry Problem 136

Proposed Problem 136. Orthic Triangle, Altitudes, Perpendicular, Concyclic Points.  

Geometry Problem 135

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

Geometry Problem 134

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

Gergonne Line

Interactive Gergonne Line and Nobbs Points. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.

Elearning Geometry

Triangle, Medians, Six Circumcenters Concyclic. Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition.

Interactive Geometry

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

Problem 133

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

Elearning 132

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

 

Triangle with the bisectors of the exterior angles

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

Elearn 128: Incenter, Ratios

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

Elearn 127: Centroid, Incenter

Proposed Problem 127. Centroid and Incenter of a Triangle, Parallel, Proportions.

Elearn 126: Incenter Proportions

Proposed Problem 126. Incenter of Triangle, Angle Bisector, Proportions.

Problem 120: Triangle area. Elearning.

Proposed Problem 120. Area of triangle, incenter, excircles, tangent.

Elearn 119: Triangle area.

Proposed Problem 119. Area of triangle, incenter, excircle, tangent.

Problem 118

Proposed Problem 118. Area of triangle, incenter, excenter, tangent.

Elearning 117 Areas

Proposed Problem 117. Area of triangle, incenter, excircles, tangent.

Geometry Problem 116

Proposed Problem 116. Area of triangle, excircles, tangent.

Elearning 115: Problem

Proposed Problem 115. Area of triangle, excircles, tangent.

Elearning 114: Area

Proposed Problem 114. Area of triangle, incircle, excircle.

Elearning 113: Areas

Proposed Problem 113. Area of triangle, incircle, excircle.

Complete quadrilateral: ortholine, Elearning

Complete Quadrilateral: Ortholine-Steiner Line.
Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation

Elearning 96

Proposed Problem 96. Similar Triangles, Incenters, Parallelogram.

Problem 95, Elearning

Proposed Problem 95. Similar Triangles, Inradii, Parallel.

Problem 94, Elearning

Proposed Problem 94. Similar Triangles, Circumcircles, Circumradii.

Elearning 93 Parallelogram

Proposed Problem 93. Similar Triangles, Circumcircles, Parallelogram.

Elearning Problem 92

Proposed Problem 92. Similar Triangles, Circumcircles, Circumradii, Parallel.

Intouch and Extouch Triangles. Puzzle cut: 20 Piece Classic
Based on Proposed Problem 86.

Proposed Problem 86. Intouch and Extouch Triangles, Areas.

Contact Triangles. Puzzle cut: 22 Piece Polygons
Based on Proposed Problem 85.

Proposed Problem 85. Contact Triangles Areas, Incircle, Excircle.

Proposed Problem 84. Contact Triangles Areas, Incircle, Excircle, Inradius, Exradius.

Proposed Problem 83. Area of the Excircle Contact Triangle, exradius, circumradius.

Contact triangle area

Proposed Problem 82. Area of the Contact Triangle, inradius, circumradius.

Triangle area

Proposed Problem 81. Area of a triangle, side, inradius, circumradius.

Proposed Problem 80. Area of a triangle, side, incircle, inradius.

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