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Online Geometry: Triangle Centers,
Theorems and Problems Index, Page 3
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Triangle Centers - Table of
Content 3
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Proposed Problem 156. Triangle,
Circumradius, Exradius, Chord, Secant line. |
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Proposed Problem 155. Euler's
Theorem: Distance from the Incenter to the Circumcenter. |
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Proposed Problem 154. Triangle,
Inradius, Circumradius, Chord. |
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Proposed Problem 145. Four
Triangles, Incircle, Tangent and Parallel to Side, Incenters,
Circumcenters. |
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Proposed Problem 144. Four
Triangles, Incircle, Tangent and Parallel to Side, Inradii. |
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Proposed Problem 143. Four
Triangles, Incircle, Tangent and Parallel to Side, Circumradii. |
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Proposed Problem 142. Four
Triangles, Incircle, Tangent and Parallel to Side, Areas. |
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Proposed Problem 141. Triangle,
Incircle, Tangent , Parallel, Perimeters. |
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Proposed Problem 140. Triangle,
Excircle, Tangent, Semiperimeter. |
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Proposed Problem 139. Triangle
Area, Orthic Triangle, Semiperimeter, Circumradius. |
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Proposed Problem 138. Nagel's
Theorem, Orthic Triangle, Altitudes, Circumradius, Perpendicular.
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Proposed Problem 137.
Orthic Triangle, Altitudes, Perpendicular, Incircle, Collinear Points,
Parallelogram. |
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Proposed Problem 136. Orthic
Triangle, Altitudes, Perpendicular, Concyclic Points. |
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Proposed Problem 135. Orthic
Triangle, Altitudes, Perpendicular, Parallel |
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Proposed Problem 134. Orthic
Triangle, Altitudes, Angle Bisectors, Orthocenter, Incenter. |
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Interactive Gergonne Line and Nobbs Points.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation. |
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Triangle, Medians, Six Circumcenters Concyclic.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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Triangle: Incircle, Perpendicular, Angle Bisector.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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Proposed Problem 133. Triangle,
Angle Bisectors, Collinear Points.
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Proposed Problem 132.
Triangle, 60 degree, Orthocenter, Congruence, Midpoint.
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Triangle with the
bisectors of the exterior angles. Collinearity. Key concept:
Menelaus Theorem.
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Proposed Problem 128. Incenter of
a Triangle, Angle Bisectors, Sum of Ratios.
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Proposed Problem 127. Centroid
and Incenter of a Triangle, Parallel, Proportions.
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Proposed Problem 126. Incenter of
Triangle, Angle Bisector, Proportions.
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Proposed Problem 120. Area
of triangle, incenter, excircles, tangent.
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Proposed Problem 119. Area
of triangle, incenter, excircle, tangent.
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Proposed Problem 118. Area
of triangle, incenter, excenter, tangent.
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Proposed Problem 117. Area
of triangle, incenter, excircles, tangent.
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Proposed Problem 116. Area
of triangle, excircles, tangent.
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Proposed Problem 115. Area
of triangle, excircles, tangent.
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Proposed Problem 114. Area of
triangle, incircle, excircle.
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Proposed Problem 113. Area of
triangle, incircle, excircle.
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Complete Quadrilateral: Ortholine-Steiner Line.
Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation |
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Proposed Problem 96. Similar
Triangles, Incenters, Parallelogram. |
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Proposed Problem 95. Similar
Triangles, Inradii, Parallel. |
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Proposed Problem 94. Similar
Triangles, Circumcircles, Circumradii. |
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Proposed Problem 93. Similar
Triangles, Circumcircles, Parallelogram. |
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Proposed Problem 92. Similar
Triangles, Circumcircles, Circumradii, Parallel. |
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Intouch and Extouch Triangles. Puzzle cut: 20 Piece Classic
Based on Proposed Problem 86. |
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Proposed Problem 86. Intouch and
Extouch Triangles, Areas. |
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Contact Triangles. Puzzle cut: 22 Piece Polygons
Based on Proposed Problem 85. |
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Proposed Problem 85. Contact
Triangles Areas, Incircle, Excircle. |
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Proposed Problem 84. Contact
Triangles Areas, Incircle, Excircle, Inradius, Exradius. |
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Proposed Problem 83. Area of the
Excircle Contact Triangle, exradius, circumradius. |
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Proposed Problem 82. Area of the
Contact Triangle, inradius, circumradius. |
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Proposed Problem 81. Area of a
triangle, side, inradius, circumradius. |
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Proposed Problem 80. Area of a
triangle, side, incircle, inradius. |
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