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Geometry: Incenter, Incircle, Inradius of a triangle, Theorems
and Problems.
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Problem 1341.
Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector.
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Geometry Problem 1374. Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines. |
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Geometry Problem 1373. Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base. |
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Geometry Problem 1372. Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude, Sketch, iPad Apps. |
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Geometry Problem 1351. Two Tangential or Circumscribed Quadrilaterals, Midpoints, Perpendiculars. |
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Geometry Problem 1350. Triangle with three Intersecting Circles, Incircle, Collinear Points. |
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Geometry Problem 1346. Equilateral Triangle, Point on the Incircle, Altitude, Perpendicular, Sum of Squares, Distance. |
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Problem 1340.
Triangle, Incenter, Concentric Circles, Isosceles Triangles, Congruence.
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Geometry Problem 1326.
Triangle, Cevian, Incenters, Sum of Angles, 270 Degrees. |
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Geometry Problem 1320.
Triangle, Incircle, Tangent, Chord, Circle, Parallel, Perpendicular, Collinearity. |
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Geometry Problem 1316.
Triangle, Incircle, Tangent, Chord, Midpoint, Sum of two Segments, Congruence. |
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Geometry Problem 1315.
Triangle, Incircle, Tangent, Chord, Circle, Congruence. |
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Geometry Problem 1314.
Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence. |
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Geometry Problem 1309.
Triangle, Circle, Inradius, Excircle, Tangent, Exradius, Measurement. |
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Geometry Problem 1308.
Quadrilateral, Diagonal, Triangle, Incircle, Tangent Line, Sides, Measurement. |
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Geometry Problem 1307.
Triangle, Incenter, Parallel line, Sides, Measurement. |
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Geometry Problem 1304.
Triangle, 120 Degrees, Angle Bisector, Measurement. |
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Geometry Problem 1301.
Arbelos, Semicircles, Diameters, Circle, Incircle, Incenter, Square, Midpoint, Concurrency. |
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Geometry Problem 1300.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines. |
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Geometry Problem 1298.
Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector, Perpendicular, Midpoint. |
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Geometry Problem 1297.
Arbelos, Semicircles, Diameters, Tangent, Circle, Incircle, Angle Bisector. |
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Geometry Problem 1295.
Right Triangle, Incenter, Incircle, Excenter, Excircle, Congruence, Angle. |
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Geometry Problem 1292.
Square, Circle, Right Triangle, Arc, Inradius, Radius, Incircle, Measurement. |
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Geometry Problem 1288.
Triangle, 30-50-100 Degrees, Area, Inradius, Metric Relations, Measurement. |
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Geometry Problem 1274.
Isosceles Triangle, 80-20-80 Degrees, Area, Inradius, Circumradius, Angle Bisector, Metric Relations, Measurement. |
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Geometry Problem 1271.
Triangle, Incircle, Incenter, Excircle, Excenter, Escribed Circle, Tangency Points, Six Concyclic Points. |
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Geometry Problem 1269.
Triangle, Incircle, Incenter, Inscribed Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
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Geometry Problem 1267.
Triangle, Incircle, Excircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Parallelogram. |
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Geometry Problem 1265.
Triangle, Incircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
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Geometry Problem 1231
Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle. |
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Geometry Problem 1217
Triangle, Circle, Excenter, Incenter, Angle Bisector, Cyclic Quadrilateral, Circumcircle, Tangent Line. |
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Geometry Problem 1207
Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular, 90 Degrees. |
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Geometry Problem 1206
Circle, Angle Bisector, Secant, Triangle, Circumcircle, Congruence, Area. |
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Geometry Problem 1203
Right Triangle, Square, Angle Bisector, Three Congruent Quadrilaterals. |
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Geometry Problem 1191
Circle, Chords, Diameter, Congruence, Midpoint, Collinearity, Bisector. |
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Geometry Problem 1180
Quadrilateral, 120 Degrees, Diagonals, Perpendicular. |
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Geometry Problem 1178
Triangle, Angle Bisector, Metric Relations. |
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Geometry Problem 1177
Triangle, Two Angle Bisectors, Metric Relations. |
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Geometry Problem 1164.
Triangle, Angle Bisector, Cevian. |
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Geometry Problem 1174
Triangle, Quadrilateral, Double, Triple, Angle, Congruence, Excenter, Angle Bisector. |
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Geometry Problem 1163.
Isosceles Triangle, Congruence, Double Angle, Circle, Concyclic Points, Circumcenter, Perpendicular, Angle Bisector. |
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Geometry Problem 1153.
Triangle, Angle Bisectors, Perpendicular, Congruence. |
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Geometry Problem 1144.
Three Equal Squares, Diagonals, Perpendicular, 90 Degrees, Angle Bisector. |
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Geometry Problem 1139.
Triangle, Circumcircle, Angle Bisector, Parallel Lines, 90 Degrees, Concurrent Lines. |
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Geometry Problem 1199
Equilateral Triangle, Square, Altitude, Circle, Incircle, Inradius, Metric Relations. |
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Geometry Problem 1181
Cyclic Quadrilateral and Tangential Quadrilateral, Diameter as a Diagonal, Incenter, Circumcenter. |
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Geometry Problem 1155.
Right Triangle, Altitude, Incenter, Incircle, Area. |
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Geometry Problem 1149.
Isosceles Triangle, Altitude, Cevian, Incircles, Tangent, Congruence. |
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Dynamic Geometry Problem 1148
Static Geometry Problem 1148.
Right Triangle, Incircle, Circumcircle, Tangent, Radius. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
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Geometry Problem 1129.
Isosceles Triangle, Circumcenter, Incenter, Parallel Lines, Perpendicular Lines. |
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Geometry Problem
1105.
Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean. |
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Geometry Problem
1104.
Right Triangle, Incircle, Circumcircle, Inscribed Circle, Radius,
Tangent. |
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Geometry Problem
1103.
Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations. |
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Geometry Problem
1102.
Right Triangle, Incircle, Tangency Point, 90 Degree, Cathetus, Metric Relations. |
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Geometry Problem
1101.
Triangle, Parallel Lines, Circle, Incircle, Inradius, Radius, Angle. |
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Geometry Problem
1081.
Equilateral Triangle, Inscribed Circle, Inradius, Tangent Circles, Radius, Tangent Line, Sangaku Japanese Problem. |
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Geometry Problem
1068.
Obtuse Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter |
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Geometry Problem
1067.
Acute Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter. |
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Geometry Problem
1066.
Triangle, Obtuse Angle, Orthocenter, Circumradius R, Inradius r, Exradius
ra, Distance, Diameter. |
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Geometry Problem
1065.
Triangle, Acute Angle, Orthocenter, Circumradius R, Inradius r, Exradius
ra, Distance, Diameter. |
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Geometry Problem
1061.
Triangle, Inradius (r), Circumradius (R), Circumcircle, Angle Bisector, Distance from a point to a Line, Perpendicular. |
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Geometry Problem
1060.
Triangle, Incircle, Incenter, Inscribed circle, Tangent, Angle. |
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Geometry Problem
1043.
Right Triangle, Incenter, Excenter, Congruence, Metric Relations. |
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Geometry Problem
1037.
Triangle, Three equal Incircles, Tangent lines, Inradius, Length. |
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Geometry Problem
1036.
Triangle, Three equal Incircles, Tangent lines, Inradius, Equal Inradii. |
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Geometry Problem
1035.
Triangle, Three equal Incircles, Tangent lines, Equivalent triangles, Equal area. |
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Geometry Problem
1034.
Triangle, Three equal Incircles, Tangent lines, Isoperimetric triangles, Equal perimeter. |
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Geometry Problem
1024.
Contact, Gergonne Triangle, Point on an arc of Incircle, Perpendicular, Distances. |
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Geometry Problem
1023.
Triangle, Contact, Gergonne, Product of three distances. |
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Geometry Problem
1012.
Equilateral Triangle, Incenters, Inscribed Circles, Perpendicular, Concurrent Lines. |
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Geometry Problem 991.
Triangle, Incircle, Tangency Points, Isosceles, Midpoint, Collinearity, Congruence, Circle. |
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Geometry Problem 990.
Triangle, Incircle, Median, Cevian, Central Angle, Congruence, Circle, Secant, Midpoint,
Parallel. |
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Geometry Problem 987.
Triangle, Circumcircle, Incenter, Chord, Parallel, Circle, Tangent. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
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Geometry Problem 976.
Isosceles Right Triangle, 45 Degrees, Incenter, Angle Bisector, Hypotenuse. |
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Geometry Problem 959.
Triangle, Sides Ratio 4:1, Inradius, Exradius, Cevian, Mean Proportional, Geometric Mean, Metric Relations. |
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Geometry Problem 957.
Equilateral Triangle, Inscribed Circle, Incircle, Circumscribed Circle, Circumcircle, Area, Circular Segment. |
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Geometry Problem 952.
Triangle, Incenter, Circumcenter, Three Equal Circles, Tangent Line, Tangent Circles, Collinear Points. |
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Geometry Problem 943.
Triangle, Incircle, Inscribed Circle, Tangency Points, Parallel, Metric Relations. |
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Geometry Problem 942.
Triangle, Circles, Circumcircle, Sagitta, Incircle, Excircle, Inradius, Exradius, Metric Relations. |
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Geometry Problem 935.
Square, Circle, Center, Perpendicular, Metric Relations.
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Geometry Problem 921.
Right Triangle, Circumcircle, Arc, Midpoint, Tangency Point, Incircle.
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Geometry Problem 918.
Triangle, Incenter, Incircle, Angle Bisector, Perpendicular, Metric Relations.
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Geometry Problem 895
Triangle, Incircle, Tangency Points, Parallel line, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 894
Triangle, Angle, 60 degrees, Incenter, Midpoint, Parallel Lines.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 893
Triangle, Circumcircle, Incenter, Circle, Tangent, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
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Geometry Problem 889
Carnot's Theorem in an acute triangle, Circumcenter, Circumradius, Inradius. GeoGebra, HTML5 Animation for Tablets. |
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Geometry Problem 886
Right Triangle, Incenter, Angle Bisector, Perpendicular, 45 Degrees, Concyclic Points, Isosceles Right Triangle. GeoGebra, HTML5 Animation for Tablets (iPad, Nexus). |
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