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Altitude of a Triangle, Theorems and Problems - Table of Content
3
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![Altitude of a triangle](altitude_triangle_17.jpg) |
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![Triangle, Perpendicular, Intersecting Lines](../problem/p629_perpendicular_1.jpg) |
Geometry Problem 629
Triangle, Perpendicular to Sides, Intersecting Lines, Altitude. |
![Triangle, Altitude, Collinearity](../problem/p613_altitude_triangle_1.jpg) |
Geometry Problem
613
Altitude of a Triangle, Perpendicular, Collinear Points. |
![Triangle, Altitude, Congruence](../problem/p612_altitude_triangle_1.jpg) |
Geometry Problem
612
Altitude of a Triangle, Perpendicular, Congruence. |
![Triangle, Altitude, Collinearity](../problem/p611_altitude_triangle_1.jpg) |
Geometry Problem
611
Altitude of a Triangle, Perpendicular, Collinear Points, Parallel. |
![Triangle, Incircle, Altitude, Incenter, Angle](../problem/p594_triangle_incircle_1.jpg) |
Geometry Problem
594.
Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude, Angle, Half the Difference. |
![Triangle, Incircle, Inradius, Altitude, Midpoint](../problem/p591_triangle_incenter_1.jpg) |
Geometry Problem
591.
Triangle, Incenter, Incircle, Inradius, Tangency Point, Midpoint, Altitude. |
![Triaangle, Double-angle, Altitude](../problem/p515_triangle_double_angle.jpg) |
Problem 515.
Triangle, Double Angle, Altitude, Measure. |
![Triangle, Altitudes](../problem/p427_triangle_altitude_17.jpg) |
Proposed Problem 427.
Triangle, Two Altitudes, Square of a Side. |
![Triangle, Angle, Altitude, Side, Measurement](../problem/p420_triangle_angle_17.jpg) |
Proposed Problem 420.
Triangle, Altitude, Angles, Sides, Measurement. |
![Triangle, Angle, Median, Altitude, Congruence](../problem/p414_triangle_angle_17.jpg) |
Proposed Problem 414.
Triangle, Angles, Altitude, Median, Congruence. |
![Cyclic quadrilateral, Orthocenter, Parallelogram, Congruence](../problem/p413_cyclic_quadrilateral_1.jpg) |
Proposed Problem 413.
Cyclic Quadrilateral, Orthocenter, Parallelogram, Concurrency,
Congruence. |
![Triangle, Altitude](../problem/p397_triangle_midpoint_17.jpg) |
Proposed Problem 397.
Triangle, Altitude, Midpoints, Congruence. |
![Triangle, Orthocenter](../problem/p393_triangle_orthocenter_1.jpg) |
Proposed Problem 393.
Triangle, Orthocenter, Altitude, Circumcircles, Congruence, Collinear. |
![Triangle, Altitude, Circle, Concyclic points](../problem/p347_triangle_circle_17.jpg) |
Proposed Problem 347.
Triangle, Altitude, Perpendicular, Circle, Concyclic points. |
![Problem 334 Cyclic Quadrilateral, Perpendiculars to Diagonals](../problem/p334_cyclic_quadrilateral_1.jpg) |
Proposed Problem 334.
Cyclic Quadrilateral, Perpendiculars to Diagonals. |
![Triangle, Altitudes, Concyclic Points](../problem/p329_triangle_altitude_17.jpg) |
Proposed Problem 329.
Triangle, Altitudes, Circle, Diameter, Concyclic points. |
![Isosceles triangle, Altitude, Incircle, Excircle](../problem/p325_triangle_altitude_17.jpg) |
Proposed Problem 325.
Isosceles triangle, Altitude, Cevian, Incircle, Excircle. |
![Triangle, Incenter, Excircle, Altitude, Collinear](../problem/p321_triangle_collinear_17.jpg) |
Proposed Problem 321.
Triangle, Incenter, Excircle, Midpoint of the Altitude, Collinearity. |
![Triangle, Altitude](../problem/p319_triangle_altitudes_17.jpg) |
Proposed Problem 319.
Triangle, Altitudes, Perpendiculars, Collinear points. |
![Elearning 318](../problem/p318_triangle_squares_17.jpg) |
Proposed Problem 318.
A Scalene triangle, Altitudes, Collinear points. |
![Geometric, Arithmetic, Harmonic Mean Relationship](geometric_mean_arithmetic_1.jpg) |
Arithmetic Mean, Geometric Mean, Harmonic Mean, Root Mean Square.
Altitude of a right triangle. |
![Right triangle, Altitude, perpendiculars](../problem/p269_right_triangle_altitud.jpg) |
Proposed Problem 269.
Right Triangle, Altitude, Perpendicular, Projection. |
![Right triangle, Altitude, Catheti](../problem/p268_right_triangle_altitud.jpg) |
Proposed Problem 268.
Right Triangle, Catheti and Altitude. |
![Right triangle, Altitude, Geometric Mean](../problem/p266_right_triangle_17.jpg) |
Proposed Problem 266.
Right Triangle, Altitude, Geometric Mean. |
![Right triangle](../problem/p264_right_triangle_17.jpg) |
Proposed Problem 264.
Right Triangle, Altitude, Leg projection, Hypotenuse, Similarity,
Geometric mean. |
![Problem 263: Triangle, Median Projection](../problem/p263_triangle_median_17.jpg) |
Proposed Problem 263.
Triangle, Median, Altitude, Orthogonal Projection, Sides. |
![Viviani theorem, Equilateral triangle, exterior point](http://gogeometry.com/
problem/p222_viviani_theorem_17.jpg) |
Proposed Problem 222. Viviani's theorem, Equilateral triangle,
Exterior point, Distances, Altitude. |
![Viviani's theorem I](http://gogeometry.com/
problem/p221_viviani_theorem_17.jpg) |
Proposed Problem 221. Viviani's theorem, Equilateral triangle,
Interior point, Distances, Altitude. |
![Right triangle, inradius, altitude, arithmetic mean](http://gogeometry.com/problem/p220_right_triangle_17.jpg) |
Proposed Problem 220. Right Triangle, Altitude, Angle Bisector,
Distance, Arithmetic Mean.
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![Elearn 218: Right triangle](http://gogeometry.com/
problem/p218_right_triangle_17.jpg) |
Proposed Problem 218. Right triangle, Altitude and Projections.
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![Elearn 217: Right triangle, Altitude, Projections](http://gogeometry.com/
problem/p217_right_triangle_17.jpg) |
Proposed Problem 217. Right triangle, Altitude and Projections.
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![Problem: Triangle, Altitude, Angles](../problem/p199_triangle_angle_17.jpg) |
Proposed Problem 199. Triangle, Altitude, Quadrilateral, Angles.
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![Geometry Problem 191 about triangle and squares](../problem/p191_triangle_square_17.jpg) |
Proposed Problem 191. Triangle,
Altitudes, Orthocenter, Squares, Areas.
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![Elearning 187: Right triangle, incircles, angles](../problem/p187_right_triangle_17.jpg) |
Proposed Problem 187. Right
Triangle, Altitude, Incenters, Circles, Angles. |
![Elearning 186: Right triangle, circles](../problem/p186_right_triangle_17.jpg) |
Proposed Problem 186. Right
Triangle, Altitude, Incenters, Circles. |
![Elearning 186: Right triangle, circles](../problem/p186_right_triangle_17.jpg) |
Proposed Problem 186. Right
Triangle, Altitude, Incenters, Circles. |
![Elearning 139: Triangle Area](../problem/p139_area_triangle_17.jpg) |
Proposed Problem 139. Triangle
Area, Altitudes, Orthic Triangle, Semiperimeter, Circumradius. |
![Nagel Theorem](../problem/p138_nagel_theorem_17.jpg) |
Proposed Problem 138. Nagel's
Theorem, Altitudes, Orthic Triangle, Circumradius, Perpendicular.
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![Geometry Problem 137](../problem/p137_orthic_triangle_17.jpg) |
Proposed Problem 137.
Orthic Triangle, Altitudes, Perpendicular, Incircle, Collinear Points,
Parallelogram. |
![Geometry Problem 136](../problem/p136_orthic_triangle_17.jpg) |
Proposed Problem 136. Orthic
Triangle, Altitudes, Perpendicular, Concyclic Points. |
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