Online Geometry

Geometry: Incenter, Incircle, Inradius of a triangle, Theorems and Problems

Incenter of a triangle - Table of Content, Page 1

Incenter, Incircle, Index

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

Triangle Centers.

Distance between triangle centers

Distances between Triangle Centers Index.

Dynamic Geometry: Incenter and Incircle of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Incenter and Incircle of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Art: Inscribed Circle, Incircle for Kids and Delaunay

Geometric Art: Inscribed Circle, Incircle for Kids, Delaunay Triangulation.

Gergonne Point Theorems and Problems Index

Gergonne Points Index
Triangle Center

Nagel Point Theorems and Problems Index

Nagel Points Index
Triangle Center

Right Triangle, Altitude, Incircle Index

Right triangle, Altitude, Incircle
Right Triangle, Altitude to the Hypotenuse, Incircle, Incenter, Inradius, Angle Bisector, Theorems and Problems, Index.

First Ajima-Malfatti Point
Animated illustration.

Second Ajima-Malfatti Point
Interactive illustration.

Feuerbach Points and Nine-Point Circle with interactive animation, manipulation, and step-by-step construction.
Incenter, Incircle, Excircles.

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

Sawayama -Thebault's theorem
Incenter, Incircle, Circumcircle.

Incenter, Excenter, Incircle, Excircle Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation.

Three Tangent Circles Theorem Using TracenPoche Dynamic Software
Step-by-Step construction, Manipulation, and animation.
Incenter of a triangle.

Distance between the incenter to the centroid

Distance between the Incenter and the Centroid of a Triangle.
Formula in terms of the sides a,b,c.

Problem 1388 40-60-80 triangle

Geometry Problem 1388.
Triangle 40-60-80 degree, Incenter, Congruence.

Geometry problem 1350

Geometry Problem 1350.
Triangle with three Intersecting Circles, Incircle, Collinear Points.

Geometry problem 1349

Geometry Problem 1349.
Three Squares, 90 Degrees, Perpendicular Lines, Diagonal. Math Infographic.

Geometry problem 1348

Geometry Problem 1348.
Three Concentric Circles, Equilateral Triangle, Perpendicular Bisector, Congruence.

Geometry problem 1347

Geometry Problem 1347.
Triangle, Angle Bisector, Congruence, Circumcircle, Tangent, Equilateral Triangle.

Geometry problem 1346

Geometry Problem 1346.
Equilateral Triangle, Point on the Incircle, Altitude, Perpendicular, Sum of Squares, Distance.

Geometry problem 1345

Geometry Problem 1345.
Three Equilateral Triangles, Center, Area, Common Vertex.

Geometry problem 1344 Bottema Theorem. Elearning.

Geometry Problem 1344, Bottema's Theorem: Triangle and Squares with Interactive Geometry Software.

Geometry problem 1343

Problem 1343.
Triangle, Excircles, Circle, Tangent, Tangency Points, Chord, Perpendicular, 90 Degrees, Collinearity. Machu Picchu in the background.

Geometry problem 1342

Problem 1342.
Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral.

Geometry problem 1341

Problem 1341.
Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector.

Problem 1374 Isosceles Triangle, Circle

Geometry Problem 1374.
Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines.

Problem 1373 Isosceles Triangle, Altitude

Geometry Problem 1373.
Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base.

Problem 1372 Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude

Geometry Problem 1372.
Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude, Sketch, iPad Apps.

Geometry problem 1351

Geometry Problem 1351.
Two Tangential or Circumscribed Quadrilaterals, Midpoints, Perpendiculars.

Geometry problem 1350

Geometry Problem 1350.
Triangle with three Intersecting Circles, Incircle, Collinear Points.

Geometry problem 1346

Geometry Problem 1346.
Equilateral Triangle, Point on the Incircle, Altitude, Perpendicular, Sum of Squares, Distance.

Geometry problem 1340

Problem 1340.
Triangle, Incenter, Concentric Circles, Isosceles Triangles, Congruence.

Geometry problem 1326

Geometry Problem 1326.
Triangle, Cevian, Incenters, Sum of Angles, 270 Degrees.

Geometry problem 1320

Geometry Problem 1320.
Triangle, Incircle, Tangent, Chord, Circle, Parallel, Perpendicular, Collinearity.

Geometry problem 1316

Geometry Problem 1316.
Triangle, Incircle, Tangent, Chord, Midpoint, Sum of two Segments, Congruence.

Geometry problem 1315

Geometry Problem 1315.
Triangle, Incircle, Tangent, Chord, Circle, Congruence.

Geometry problem 1314

Geometry Problem 1314.
Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence.

Geometry problem 1309

Geometry Problem 1309.
Triangle, Circle, Inradius, Excircle, Tangent, Exradius, Measurement.

Geometry problem 1308

Geometry Problem 1308.
Quadrilateral, Diagonal, Triangle, Incircle, Tangent Line, Sides, Measurement.

Geometry problem 1307

Geometry Problem 1307.
Triangle, Incenter, Parallel line, Sides, Measurement.

Geometry problem 1304

Geometry Problem 1304.
Triangle, 120 Degrees, Angle Bisector, Measurement.

Geometry problem 1301

Geometry Problem 1301.
Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency.

Geometry problem 1300

Geometry Problem 1300.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines.

Geometry problem 1298

Geometry Problem 1298.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint.

Geometry problem 1297

Geometry Problem 1297.
Arbelos, Semicircles, Diameters, Tangent, Circle, Incircle, Angle Bisector.

Geometry problem 1295

Geometry Problem 1295.
Right Triangle, Incenter, Incircle, Excenter, Excircle, Congruence, Angle.

Geometry problem 1292

Geometry Problem 1292.
Square, Circle, Right Triangle, Arc, Inradius, Radius, Incircle, Measurement.

Geometry problem 1288

Geometry Problem 1288.
Triangle, 30-50-100 Degrees, Area, Inradius, Metric Relations, Measurement.

Geometry problem 1274

Geometry Problem 1274.
Isosceles Triangle, 80-20-80 Degrees, Area, Inradius, Circumradius, Angle Bisector, Metric Relations, Measurement.

Geometry problem 1271

Geometry Problem 1271.
Triangle, Incircle, Incenter, Excircle, Excenter, Escribed Circle, Tangency Points, Six Concyclic Points.

Geometry problem 1269

Geometry Problem 1269.
Triangle, Incircle, Incenter, Inscribed Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector.

Geometry problem 1267

Geometry Problem 1267.
Triangle, Incircle, Excircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Parallelogram.

Geometry problem 1265

Geometry Problem 1265.
Triangle, Incircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector.

Geometry problem 1231

Geometry Problem 1231
Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle.

Geometry problem 1217

Geometry Problem 1217
Triangle, Circle, Excenter, Incenter, Angle Bisector, Cyclic Quadrilateral, Circumcircle, Tangent Line.

Geometry problem 1207

Geometry Problem 1207
Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular, 90 Degrees.

Geometry problem 1199

Geometry Problem 1199
Equilateral Triangle, Square, Altitude, Circle, Incircle, Inradius, Metric Relations.

Geometry problem 1181

Geometry Problem 1181
Cyclic Quadrilateral and Tangential Quadrilateral, Diameter as a Diagonal, Incenter, Circumcenter.

Geometry problem 1155

Geometry Problem 1155.
Right Triangle, Altitude, Incenter, Incircle, Area.

Geometry problem 1149

Geometry Problem 1149.
Isosceles Triangle, Altitude, Cevian, Incircles, Tangent, Congruence.

Geometry problem 1148

Dynamic Geometry Problem 1148
Static Geometry Problem 1148.
Right Triangle, Incircle, Circumcircle, Tangent, Radius. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus).

Geometry problem 1129

Geometry Problem 1129.
Isosceles Triangle, Circumcenter, Incenter, Parallel Lines, Perpendicular Lines.

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Last updated: Sep 25, 2018