![Orthocenter Index](orthocenter_altitude_index.jpg) |
|
![Orthocenter visual Index](orthocenter_theorems_problems_visual_index_software-1.jpg) |
Orthocenter of a triangle, Theorems and Problems - Visual Index. |
![Art: Orthocenter and Delaunay](../software/sketch/orthocenter-triangle-art-delaunay-1.jpg) |
Geometric Art: Orthocenter of a Triangle, Delaunay Triangulation. |
![Geometry Problem 1561](../school-college/6/p1561-highschool-college-geometry-triangle-ABC-circumcenter-orthocenter-angle-parallel-problem-1.jpg) |
Geometry Problem 1561:
Triangle ABC, Circumcenter O, Orthocenter H, Parallel Line, and Angle
Secrets. |
![Geometry Problem 1485](../school-college/5/p1485-triangle-altitude-orthocenter-circle-tangent-measurement-1.jpg) |
Geometry
Problem 1485.
Triangle, Orthocenter, Altitude, Circle, Diameter, Tangent, Measurement. |
![Dynamic Geometry 1476](../school-college/5/p1476-droz-farny-line-theorem-orthocenter-collinear-midpoint-geogebra-1.jpg) |
Dynamic Geometry 1476.
Droz-Farny Line Theorem, Triangle, Orthocenter, Perpendicular, Collinear Midpoints, Step-by-step Illustration. GeoGebra,
iPad. |
![Geometry Problem 1459](../school-college/5/p1459-orthocenter-triangle-midpoint-perpendicular-1.jpg) |
Geometry
Problem 1459.
Two Triangles, Orthocenter, Midpoint, Perpendicular, Step-by-step Illustration using GeoGebra. |
![Geometry Problem 1457](../school-college/5/p1457-orthocenter-triangle-similarity-circles-radii-1.jpg) |
Geometry
Problem 1457.
Altitudes, Circles, Similarity,
Product of the Inradii Lengths,
iPad. Step-by-step illustration using GeoGebra. |
![Geometry Problem 1456](../school-college/5/p1456-orthocenter-triangle-similarity-circles-geogebra-ipad-1.jpg) |
Geometry
Problem 1456.
Altitudes, Orthic Triangle, Circumcircle, Parallel lines, Similarity, Area,
iPad. Step-by-step illustration using GeoGebra. |
![Dynamic Geometry 1450](../school-college/5/p1450-ortholine-complete-quadrilateral-geogebra-dynamic-igs-1.jpg) |
Dynamic Geometry 1450.
Ortholine, Steiner Line, Complete Quadrilateral, Collineal Orthocenters. Step-by-step
illustration using GeoGebra. |
![Problem 1442](../school-college/5/p1442-triangle-altitude-angle-measurement-1.jpg) |
Geometry Problem 1442.
Triangle, Altitudes, Orthocenter, Perpendicular, Congruent Angles,
Similarity, Measurement, Art, Poster, Typography, iPad Apps. |
![Problem 1388 Circle, Triangle](../school-college/4/p1385-triangle-circumcircle-orthocenter-bisector-collinear-1.jpg) |
Geometry Problem 1385. Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points. |
![Problem 1388 Circle, Triangle](../school-college/4/p1384-triangle-circumcircle-orthocenter-bisector-90-degree-1.jpg) |
Geometry Problem 1384. Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, 90 Degree. |
![Geometry problem 1312](../school-college/4/p1312-triangle-60-degrees-circumcenter-orthocenter-measurement-1.jpg) |
Geometry Problem 1312.
Triangle, 60 Degrees, Circle, Circumcenter, Orthocenter, Altitude, Distance, Perpendicular, Measurement. |
![Geometry problem 1253](../school-college/3/p1253-triangle-orthocenter-90-degree-circles-1.jpg) |
Geometry Problem 1253.
Triangle, Orthocenter, Circle, Circumcircle, Altitude, Perpendicular, 90 Degree, Concurrency. |
![Geometry problem 1252](../school-college/3/p1252-hexagon-triangle-area-orthocenter-circumcircle-mind-map-1.jpg) |
Geometry Problem 1252.
Triangle, Circle, Circumcircle, Altitude, Area, Hexagon, Perpendicular, 90 Degrees. Mind Map. |
![Geometry problem 1248](../school-college/3/p1248-triangle-circle-orthocenter-diameter-parallel-1.jpg) |
Geometry Problem 1248.
Triangle, Circumcircle, Circle, Diameter, Orthocenter, Altitude, Parallel Lines. |
![Geometry problem 1247](../school-college/3/p1247-triangle-circumcircle-perpendicular-orthocenter-1.jpg) |
Geometry Problem 1247.
Triangle, Circumcircle, Orthocenter, Altitude, Perpendicular, Midpoint. |
![Geometry problem 1246](../school-college/3/p1246-orthocenter-midpoint-perpendicular-1.jpg) |
Geometry Problem 1246.
Triangle, Orthocenter, Altitude, Midpoint, Perpendicular. |
![Geometry problem 1232](../school-college/3/p1232-orthic-axis-triangle-altitude-collinear-1.jpg) |
Geometry Problem 1232
Triangle, Altitudes, Orthic Triangle, Collinearity, Orthic Axis. |
![Geometry problem 1231](../school-college/3/p1231-triangle-orthocenter-circumcenter-incenter-bisector-1.jpg) |
Geometry Problem 1231
Triangle, Orthocenter, Incenter, Circumcenter, Angle Bisector, Center, Circle. |
![Geometry problem 1169](../school-college/2/p1169-ortholine-complete-quadrilateral-steiner-line-tutoring-1.jpg) |
Geometry Problem 1169
Complete Quadrilateral, Orthocenters of the Component Triangles, Collinear Points, Ortholine, Steiner-line, Orthocentric line. |
![Geometry problem 1161](../school-college/2/p1161-scalene-triangle-60-degrees-orthocenter-circumcenter-1.jpg) |
Geometry Problem 1161.
Scalene Triangle, 60 Degrees, Angle, Orthocenter, Circumcenter, Equilateral Triangle, Congruence. |
![Geometry problem 1147](../school-college/2/p1147-triangle-orthocenter-circumcenter-congruence-equilateral-1.jpg) |
Geometry Problem 1147.
Scalene Triangle, Orthocenter, Circumcenter, Congruence, Equilateral Triangle. |
![Geometry problem 1137](../school-college/2/p1137-triangle-orthocenter-circle-midpoint-collinear-1.jpg) |
Geometry Problem 1137.
Triangle, Circumcircle, Circumcenter, Orthocenter, Midpoint, Arc, Collinear Points, Tangent Circles. |
![Geometry problem 1136](../school-college/2/p1136-triangle-circumcircle-orthocenter-90-degrees-midpoint-1.jpg) |
Geometry Problem 1136.
Triangle, Circumcircle, Orthocenter, Midpoint, Arc, 90 Degrees, Angle. |
![Geometry problem 1122](../school-college/2/p1122-triangle-orthocenter-90-degree-midpoint-collinear-math-1.jpg) |
Geometry Problem 1122.
Triangle, 90 Degree, Perpendicular Lines, Orthocenter, Altitude, Midpoint, Collinear Points.
|
![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 1064](../school-college/1/p1064-triangle-orthocenter-sides-circumradius-square-math-1.jpg) |
Geometry Problem
1064.
Triangle, Orthocenter, Altitudes, Circumradius, Sum of the Squares of Sides. |
![Geometry Problem 1063](../school-college/1/p1063-triangle-altitudes-orthocenter-equal-product-math-1.jpg) |
Geometry Problem
1063.
Triangle, Orthocenter, Altitudes, Equal Product of the Lengths of Segments. |
|
Geometry Problem
1062.
Scalene Triangle with an angle of 60 degrees, Euler Line, Orthocenter, Circumcenter, Distance, Congruence, Transversal.\ |
![Geometry Problem 1059](../school-college/1/p1059-triangle-circle-simson-line-reflection-parallel-perpendicular-math-1.jpg) |
Geometry Problem
1059.
Triangle, Circumcircle, Orthocenter, Altitude, Perpendicular, Reflection of a Point over a Line, Collinear Points, Simson Line, Congruence. |
![Geometry Problem 1054](../school-college/1/p1054-triangle-circle-altitude-midpoint-orthocenter-circumcenter-math-1.jpg) |
Geometry Problem
1054.
Triangle, Altitude, Orthocenter, Circumcenter, Perpendicular, Midpoints. |
![Geometry Problem 977](../school-college/p977-acute-triangle-circumcenter-orthocenter-distance-circumradius-metric-relations-1.jpg) |
Geometry Problem 977.
Acute Triangle, Circumcenter, Orthocenter, Distance, Circumradius, Altitude, Metric Relations. |
![Geometry Problem 944](../school-college/p944-triangle-orthocenter-altitude-perpendicular-parallel-1.jpg) |
Geometry Problem 944.
Triangle, Orthocenter, Altitude, Perpendicular, 90 Degrees, Parallel Lines. |
![Problem 929](../school-college/p929-triangle-orthocenter-reflection-circumcircle-concurrency-1.jpg) |
Geometry Problem 929.
Triangle, Orthocenter, Circumcircle, Reflection, Concurrency.
|
![Problem 914](../school-college/p914-triangle-orthocenter-angle-bisector-parallel-midpoint-1.jpg) |
Geometry Problem 914.
Triangle, Orthocenter, Angle Bisector, Parallel Lines, Midpoint.
|
![Dynamic Geometry: Orthocenter of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)](../geogebra/geogebra-triangle-orthocenter-html5-animation-ipad-nexus-1.jpg) |
GeoGebra, Dynamic Geometry:
Orthocenter
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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Antonio Gutierrez
Last updated: Feb 18, 2024
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