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![Online Geometry](h_triangle_center_910.jpg)
Plane Geometry: Excenters, Excircles, Exradius, Triangle. Theorems and Problems
- Index 1
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![Excenter, Excircle, Index](excenter_excircle_17.jpg) |
Excenter's allure,
Excircle's grand embrace,
Exradius guides,
Triangle's theorems and woes,
Problems solved, wisdom attained. |
![](../triangle_center_170.jpg) |
Triangle Centers. |
![Distance between triangle centers](distance_triangle_centers.jpg) |
Distances between Triangle Centers
Index.
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![Gergonne Point Theorems and Problems Index](../geometry/gergonne_point_index_1.jpg) |
Gergonne Points
Index
Triangle Center |
![Geometry Problem 1553](../school-college/6/p1553-triangle-abc-angle-bisectors-calculate-circumradius-1.jpg) |
Geometry Problem 1553: Solving for OC in Triangle ABC with Unique Angle Bisectors |
![Geometry Problem 1545](../school-college/6/p1545-geometric-puzzle-area-of-triangle-inscribed-circle-excenters-incircle-1.jpg) |
Geometry Problem 1545: Unlock the Geometric Mystery: Calculate the Area of Triangle ABC with Inscribed Circle and Excenters! |
![Dynamic Geometry 1483](../school-college/5/p1483-isosceles-right-triangle-excenter-perpendicular-measurement-1.jpg) |
Geometry
Problem 1483.
Isosceles Right Triangle, Excenter, Perpendicular, Measurement. |
![Dynamic Geometry 1468](../school-college/5/p1468-steiner-theorem-triangle-inradius-exradius-circumradius-ipad-geogebra-1.jpg) |
Dynamic Geometry 1468.
Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii, Step-by-step Illustration. |
![Geometry Problem 1458](../school-college/5/p1458-incircle-excircle-triangle-area-1.jpg) |
Geometry
Problem 1458.
Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1455](../school-college/5/p1455-nagel-point-incircle-congruence-geogebra-ipad-1.jpg) |
Geometry
Problem 1455.
Nagel Point, Excircles, Incircle, Congruent Segments,
iPad. Step-by-step illustration using GeoGebra. |
![Problem 1436](../school-college/5/p1436-right-triangle-altitude-excircle-geometric-mean-1.jpg) |
Geometry Problem 1436.
Right Triangle, Altitude, Excircles, Excenters, Geometric Mean,
Measurement, Art,
Poster, Typography, iPad Apps. |
![Problem 1421](../school-college/5/p1421-right-triangle-incircle-excircle-measurement-1.jpg) |
Geometry Problem 1421. Right Triangle, Incircle, Excircle, Tangent Lines, Measurement. |
![Problem 1416](../school-college/5/p1416-right-triangle-altitude-incircle-excircle-tangent-45-degree-1.jpg) |
Geometry Problem 1416. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, 45 Degree Angle. |
![Problem 1415](../school-college/5/p1415-right-triangle-altitude-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1415. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. |
![Problem 1414](../school-college/5/p1414-right-triangle-altitude-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1414. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. |
![Problem 1413](../school-college/5/p1413-right-triangle-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1413. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. |
![Problem 1412](../school-college/5/p1412-right-triangle-incircle-excircle-tangent-45-degrees-1.jpg) |
Geometry Problem 1412. Right Triangle, Incircle, Excircle, Tangency Points,
45 Degree Angle. |
![Problem 1411](../school-college/5/p1411-right-triangle-incircle-excircle-tangent-isosceles-1.jpg) |
Geometry Problem 1411. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. |
![Problem 1410](../school-college/5/p1410-right-triangle-incircle-excircle-tangent-45-degrees-1.jpg) |
Geometry Problem 1410. Right Triangle, Incircle, Excircle, Tangency Points,
45 Degree Angle. |
![Problem 1409](../school-college/5/p1409-right-triangle-incircle-excircle-tangent-collinear-1.jpg) |
Geometry Problem 1409. Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity. |
![Problem 1408](../school-college/5/p1408-right-triangle-incircle-excircle-midpoint-collinear-1.jpg) |
Geometry Problem 1408. Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity. |
![Problem 1407](../school-college/5/p1407-right-triangle-incircle-excircle-collinearity-1.jpg) |
Geometry Problem 1407. Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity. |
![Problem 1377 Isosceles Triangle, Circle](../school-college/4/p1377-isosceles-triangle-interior-cevian-equal-sum-exradii-1.jpg) |
Geometry Problem 1377. Isosceles Triangle, Interior Cevian, Equal Sum of Exradii, Excircle. |
![Problem 1376 Isosceles Triangle, Circle](../school-college/4/p1376-isosceles-triangle-interior-cevian-exradius-parallel-1.jpg) |
Geometry Problem 1376. Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines. |
![Problem 1375 Isosceles Triangle, Circle](../school-college/4/p1375-isosceles-triangle-interior-cevian-exradius-altitude-1.jpg) |
Geometry Problem 1375. Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base. |
![Problem 1374 Isosceles Triangle, Circle](../school-college/4/p1374-isosceles-triangle-exterior-cevian-incircle-excircle-parallel-1.jpg) |
Geometry Problem 1374. Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines. |
![Problem 1373 Isosceles Triangle, Altitude](../school-college/4/p1373-equilateral-triangle-interior-cevian-inradius-exradius-altitude-1.jpg) |
Geometry Problem 1373. Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base. |
![Problem 1372 Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude](../school-college/4/p1372-equilateral-triangle-exterior-cevian-inradius-exradius-altitude-1.jpg) |
Geometry Problem 1372. Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude, Sketch, iPad Apps. |
![Geometry problem 1343](../school-college/4/p1343-triangle-excircle-tangent-90-degree-1.jpg) |
Problem 1343.
Triangle, Excircles, Circle, Tangent, Tangency Points, Chord, Perpendicular, 90 Degrees, Collinearity. Machu Picchu in the background.
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![Geometry problem 1317](../school-college/4/p1317-triangle-excircle-tangent-chord-congruence-1.jpg) |
Geometry Problem 1317.
Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence. |
![Geometry problem 1309](../school-college/4/p1309-triangle-circle-inradius-exradius-tangent-1.jpg) |
Geometry Problem 1309.
Triangle, Circle, Inradius, Excircle, Tangent, Exradius, Measurement. |
![Geometry problem 1295](../school-college/3/p1295-right-triangle-incenter-excenter-angle-1.jpg) |
Geometry Problem 1295.
Right Triangle, Incenter, Incircle, Excenter, Excircle, Congruence, Angle. |
![Geometry problem 1271](../school-college/3/p1271-triangle-incircle-excircle-concyclic-tutoring-1.jpg) |
Geometry Problem 1271.
Triangle, Incircle, Incenter, Excircle, Excenter, Escribed Circle, Tangency Points, Six Concyclic Points. |
![Geometry problem 1270](../school-college/3/p1270-triangle-excircle-bisector-90-degree-1.jpg) |
Geometry Problem 1270.
Triangle, Excircle, Excenter, Escribed Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
![Geometry problem 1267](../school-college/3/p1267-triangle-incircle-excircle-90-degree-parallelogram-1.jpg) |
Geometry Problem 1267.
Triangle, Incircle, Excircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Parallelogram. |
![Geometry problem 1266](../school-college/3/p1266-triangle-excircle-90-degree-bisector-1.jpg) |
Geometry Problem 1266.
Triangle, Excircle, Circle, Tangency Points, Perpendicular, 90 Degrees, Angle Bisector. |
![Geometry problem 1217](../school-college/3/p1217-triangle-angle-bisector-cyclic-quadrilateral-class-1.jpg) |
Geometry Problem 1217
Triangle, Circle, Excenter, Incenter, Angle Bisector, Cyclic Quadrilateral, Circumcircle, Tangent Line. |
![Geometry problem 1209](../school-college/3/p1209-triangle-excenter-circumcircle-congruence-1.jpg) |
Geometry Problem 1209
Triangle, Circle, Excircle, Excenter, Circumcircle, Congruence. |
![Geometry problem 1208](../school-college/3/p1208-triangle-excenter-diameter-perpendicular-area-1.jpg) |
Geometry Problem 1208
Triangle, Circle, Excircle, Excenter, Diameter, Perpendicular, 90 Degrees, Equal Areas. |
![Geometry problem 1207](../school-college/3/p1207-triangle-incircle-excenter-circumradius-90-degrees-1.jpg) |
Geometry Problem 1207
Triangle, Circle, Incenter, Circumcenter, Excenter, Circumradius, Perpendicular, 90 Degrees. |
![Geometry problem 1174](../school-college/2/p1174-triangle-double-triple-angle-bisector-problem-solving-1.jpg) |
Geometry Problem 1174
Triangle, Quadrilateral, Double, Triple, Angle, Congruence, Excenter, Angle Bisector. |
![Geometry problem 1132](../school-college/2/p1132-triangle-excircle-parallel-midpoint-tangent-1.jpg) |
Geometry Problem 1132.
Triangle, Excircle, Tangency Point, Parallel, Midpoint. |
![Geometry Problem 1112](../school-college/2/p1112-triangle-excenter-circumcircle-hexagon-area-math-1.jpg) |
Geometry Problem
1112.
Triangle, Excenters, Circumcircle, Circle, Hexagon, Area. |
![Geometry Problem 1105](../school-college/2/p1105-triangle-cevian-incircle-excircle-congruence-geometric-mean-math-tutor-1.jpg) |
Geometry Problem
1105.
Triangle, Incircle, Excircle, Cevian, Tangent, Congruence, Geometric Mean. |
![Geometry Problem 1068](../school-college/1/p1068-obtuse-triangle-orthocenter-exradius-inradius-circumradius-distance-math-1.jpg) |
Geometry Problem
1068.
Obtuse Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter |
![Geometry Problem 1067](../school-college/1/p1067-triangle-orthocenter-exradius-inradius-circumradius-distance-math-1.jpg) |
Geometry Problem
1067.
Acute Triangle, Orthocenter, Circumradius, Inradius, Exradii, Distance, Diameter. |
![Geometry Problem 1066](../school-college/1/p1066-triangle-obtuse-orthocenter-inradius-circumradius-distance-math-1.jpg) |
Geometry Problem
1066.
Triangle, Obtuse Angle, Orthocenter, Circumradius R, Inradius r, Exradius
ra, Distance, Diameter. |
![Geometry Problem 1065](../school-college/1/p1065-triangle-orthocenter-inradius-circumradius-distance-math-1.jpg) |
Geometry Problem
1065.
Triangle, Acute Angle, Orthocenter, Circumradius R, Inradius r, Exradius
ra, Distance, Diameter. |
![Geometry Problem 1056](../school-college/1/p1056-triangle-reciprocals-exradius-altitudes-formula-exradii-math-1.jpg) |
Geometry Problem
1056.
Triangle, Exradius, Reciprocals of the Altitudes, Multiplicative Inverse, Perpendicular, Excircle, Circle. |
![Geometry Problem 1043](../school-college/1/p1043-right-triangle-incenter-excenter-congruence-math-1.jpg) |
Geometry Problem
1043.
Right Triangle, Incenter, Excenter, Congruence, Metric Relations. |
![Geometry Problem 982](../school-college/p982-triangle-excenter-circumcenter-hexagon-area-1.jpg) |
Geometry Problem 982.
Triangle, Excenters, Excentral Triangle, Circumcenter, Area, Hexagon. |
![Geometry Problem 959](../school-college/p959-triangle-ratio-side-1-4-inradius-exradius-cevian-geometric-mean-1.jpg) |
Geometry Problem 959.
Triangle, Sides Ratio 4:1, Inradius, Exradius, Cevian, Mean Proportional, Geometric Mean, Metric Relations. |
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