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Altitude of a Triangle, Theorems and Problems - Table of Content
2
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![Altitude of a triangle](altitude_triangle_17.jpg) |
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![Geometry Problem 984](../school-college/p984-triangle-circumcircle-altitude-midpoint-collinear-1.jpg) |
Geometry Problem 984.
Triangle, Circumcircle, Altitudes, Midpoint, Collinear Points. |
![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 930](../school-college/p930-triangle-altitude-circle-diameter-angle-1.jpg) |
Geometry Problem 930.
Acute Triangle, Altitudes, Circles, Diameter, Angle, Measure.
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![Geometry Problem 896](../school-college/p896-triangle-orthocenter-midpoint-circle-diameter-collinear-html5-ipad-1.jpg) |
Geometry Problem 896
Triangle, Orthocenter, Midpoint, Median, Intersecting Circles, Diameter, Collinear Points.
GeoGebra, HTML5 Animation for Tablets |
![Problem 887](../school-college/p887-triangle-altitude-bisector-midpoint-concyclic-html5-ipad-1.jpg) |
Geometry Problem 887
Triangle, Altitude, Angle Bisector, Perpendicular, Midpoint, Concyclic Points. GeoGebra, HTML5 Animation for Tablets. |
![Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement](../school-college/p803-right-triangle-altitude-angle-bisector-1.jpg) |
Geometry Problem
803
Right Triangle, Altitude, Angle Bisector, Perpendicular, Measurement. |
![Triangle, Altitude, Angle](../school-college/p796-triangle-altitude-perpendicular-angle-1.jpg) |
Geometry Problem 796
Triangle, Altitude, Measurement of Angles. |
![Right Triangle, Altitude, Incircles, CIrcumcircles, COngruence](../school-college/p794-right-triangle-altitude-incircle-2-circumcircles-congruence-1.jpg) |
Geometry Problem 794
Right Triangle, Altitude, Three Incenters, Circumcircles, Incircle, Congruence. |
![Right Triangle, Altitude, Three Incircles, Circumradius](../school-college/p793-right-triangle-altitude-3-incenters-circumradius-distance-1.jpg) |
Geometry Problem 793
Right Triangle, Altitude, Three Incircles, Incenters, Circumcircle, Circumradius, Perpendicular, Distance. |
![Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles](../school-college/p792-right-triangle-altitude-3-incenters-concyclic-bisector-1.jpg) |
Geometry Problem 792
Right Triangle, Altitude, Angle Bisector, Three Incircles, Five Concyclic Points, Circles. |
![Right Triangle, Altitude, Incenter, Angle Bisector, Inradius](../school-college/p790-right-triangle-altitude-incenter-inradius-congruence-1.jpg) |
Geometry Problem 790
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line, Congruence. |
![Right Triangle, Altitude, Angle Bisector, Inradius](../school-college/p789-right-triangle-altitude-angle-bisector-inradius-1.jpg) |
Geometry Problem 789
Right Triangle, Altitude, Angle Bisector, Incircle, Tangency Point, Inradius, Circles, Tangent Line. |
![Triangle, Orthocenter, Midpoint](../school-college/p784-triangle-orthocenter-midpoint-perpendicular-1.jpg) |
Geometry Problem 784
Triangle, Orthocenter, Altitude, Midpoint of a side, Perpendicular. |
![Triangle, Orthocenter, Circumcircle, Diameter, Midpoint](../school-college/p783-triangle-orthocenter-circumcircle-diameter-midpoint-1.jpg) |
Geometry Problem 783
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Midpoint. |
![Triangle, Orthocenter, Circumcircle, Diameter, Altitude, Parallelogram](../school-college/p782-triangle-orthocenter-circumcircle-diameter-parallelogram-1.jpg) |
Geometry Problem 782
Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram. |
![Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular](../school-college/p781-triangle-circumcenter-perpendicular-orthocenter-midpoint-1.jpg) |
Geometry Problem 781
Triangle, Orthocenter, Circumcenter, Vertex, Altitude, Midpoint, Perpendicular. |
![Triangle, Orthocenter, Inradius, Circumradius](../problem/p780-triangle-distance-orthocenter-vertex-circumradius-inradius-1.jpg) |
Geometry Problem 780
Triangle, Sum of Inradius and Circumradius, Distances from the Orthocenter to the Vertices. |
![Triangle, Orthocenter, Midpoint, 90 Degrees](../problem/p779-triangle-altitude-orthocenter-midpoint-90-degrees-1.jpg) |
Geometry Problem 779
Triangle, Altitude, Orthocenter, Midpoint, Angle, 90 Degrees. |
![Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square.](../problem/p778-triangle-altitude-orthocenter-vertex-circumradius-side-1.jpg) |
Geometry Problem 778
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Side, Square. |
![Triangle, Distance from the Orthocenter, Vertex, Circle, Circumradius, Cosine](../problem/p777-triangle-altitude-orthocenter-vertex-circumradius-cosine-1.jpg) |
Geometry Problem 777
Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine. |
![Triangle, Inradius, Exradii, Harmonic Mean](../problem/p766-triangle-altitudes-exradii-equal-harmonic-mean-1.jpg) |
Geometry Problem 766
Triangle, Altitudes, Exradii, Three Exradius, Equal Harmonic Mean. |
![Triangle, Inradius, Altitudes, Harmonic Mean](../problem/p764-triangle-altitudes-inradius-harmonic-mean-1.jpg) |
Geometry Problem 764
Triangle, Inradius, Altitudes, Harmonic Mean. |
![Trisngle, Orthocenter, Ratio](../problem/p753-triangle-altitude-orthocenter-ratio-1.jpg) |
Geometry Problem
753.
Triangle, Altitudes, Orthocenter, Sum of ratios. |
![Triangle, Altitude, Angle, geometry problem](../problem/p736_triangle_altitude_1.jpg) |
Geometry Problem
736.
Triangle, Altitude, Perpendicular, Angles, Cyclic Quadrilateral. |
![Orthic triangle, geometry problem](../problem/p735_triangle_orthic_1.jpg) |
Geometry Problem
735.
Triangle, Altitude, Perpendicular, Semiperimeter of the Orthic Triangle, Congruence. |
![Triangle, Orthocenter, Line Reflection, Concurrency](../problem/p733_triangle_reflection_1.jpg) |
Geometry Problem
733.
Triangle, Orthocenter, Altitude, Reflection in a line, Circumcircle, Concurrency. |
![Orthic triangle, Orthocenter, Congruence](../problem/p732_orthic_triangle_1.jpg) |
Geometry Problem
732.
Triangle, Altitude, Orthic Triangle, Orthocenter, Congruence, Parallelogram. |
![Cyclic quadrilateral, Orthocenter, Parallelogram](../problem/p731_cyclic_quadrilateral1.jpg) |
Geometry Problem
731.
Cyclic quadrilateral, Triangle, Orthocenter, Altitude, Perpendicular, Parallelogram. |
![Triangle, Altitude, Perpendicular, Concurrent](../problem/p730_triangle_altitude_1.jpg) |
Geometry Problem
730.
Triangle, Altitude, Orthocenter, Perpendicular, Concurrent Lines. |
![Triangle, Orthocenter, Circumcircle](../problem/p729_triangle_orthocenter1.jpg) |
Geometry Problem
729.
Triangle, Altitude, Orthocenter, Circumcircle, Perpendicular, Midpoint. |
![Triangle, Circle, Concurrency](../problem/p728_triangle_concurrent_1.jpg) |
Geometry Problem
728.
Triangle, Altitude, Perpendicular, Circumcircle, Midpoint, Intersecting Circles, Concurrency. |
![Isosceles Triangle, Perpendicular, Midpoint](../problem/p726_triangle_90_degrees_1.jpg) |
Geometry Problem
726.
Isosceles Triangle, Perpendicular, Altitude, Midpoint, 90 Degrees. |
![Triangle, Orthocenter, Circumcircle, Collinear](../problem/p721_altitude_collinear_1.jpg) |
Geometry Problem
721.
Triangle, Orthocenter, Circumcircle, Altitude, Collinear points,
Altitude. |
![Triangle, Altitudes, Parallel, Circumcircle, Angle](../problem/p715_triangle_altitudes_1.jpg) |
Geometry Problem
715.
Triangle, Altitudes, Parallel, Circumcircle, Angle, Measurement. |
![Orthocenter, triangle, midpoint, perpendicular](../problem/p704_orthocenter_triangle_1.jpg) |
Geometry Problem
704.
Triangle, Orthocenter, Altitude, Midpoint, Perpendicular. |
![Simson Line, Parallel](../problem/p678-simson-line-1.jpg) |
Geometry Problem 678.
Triangle, Altitude, Simson Line, Circumcircle, Tangent, Parallel, Perpendicular, Collinear Points. |
![Triangle, Altitude, Angles](../problem/p674_triangle_angle_1.jpg) |
Geometry Problem 674.
Triangle, Altitude, Angles. |
![Triangle, 60 Degrees, Concurrent lines](../problem/p663_triangle_60_degrees_1.jpg) |
Geometry Problem 663.
Scalene Triangle, 60 Degrees, Altitude, Angle Bisector, Perpendicular Bisector. |
![Triangle, Altitudes, Circles, Angles](../problem/p658_triangle_circle_1.jpg) |
Geometry Problem 658.
Triangle, Altitudes, Diameter, Circle, Angles. |
![Right triangle, Altitude, Incenter, Area](../problem/p634_right_triangle_area_1.jpg) |
Geometry Problem 634
Right Triangle, Altitude, Incenters, Areas. |
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