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![Teoremas y Problemas de Geometria, Pre-Universitaria, Bachillerato](h_problemas_geometria_910.jpg)
Ángulos de 30, 60 y 120 Grados, Teoremas y Problemas
![](../math_geometry_quotes/math_geometry_quotes_1.jpg)
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![Angulos de 30, 60, 120 Indice](angulos_30_60_i_17.jpg) |
Problemas de Geometría
Problemas
del 1301 al 1400
Problemas
del 1201 al 1300
Problemas
del 1101 al 1200
Problemas
del 1001 al 1100
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![](cuadrilatero_equilico_i_1.jpg) |
Puntos,
Colineales
Rectas,
Paralelas,
Perpendiculares
Mediatriz,
Rectas Concurrentes
Ángulos,
Bisectriz
30, 60, 120 grados
45, 135 grados
Triángulos,
Isósceles,
Equilátero,
Escaleno
Triángulo Rectángulo,
Relaciones Métricas Puntos Notables
Incentro,
Baricentro,
Circuncentro,
Ortocentro,
Excentro
Cuadriláteros
Cuadrado
Paralelogramo
Cuadrilátero Completo
Circunferencia
Área del Circulo
Congruencia,
Semejanza
Áreas |
![Triangulo, Angulo, 30 grados](p820-triangulo-ceviana-30-grados-angulo-1.jpg) |
Problema de Geometría
820.
Triangulo, Cevianas, Angulo, 30 grados.
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![Cuadrilatero, Triangulo, Angulo, 30 grados](p819-cuadrilatero-triangulo-angulo-30-grados-1.jpg) |
Problema de Geometría
819.
Cuadrilátero, Triangulo, Angulo, 30 grados.
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![Dos triangulos equilateros con un vertice comun](p814-dos-triangulos-equilateros-vertice-comun-60-grados-1.jpg) |
Problema de Geometría
814.
Dos triángulos equiláteros con un vértice común, Angulo de 60 grados.
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![Area del triangulo circunscrito, angulo 30 grados](p619_triangulo_30_area_1.jpg) |
Problema de Geometría
619
Área del Triangulo, Angulo de 30 Grados, Circunferencia Inscrita, Incentro,
Tangente. |
![Triangulo, area, 60 grados](p618_triangulo_60_area_1.jpg) |
Problema de Geometría
618
Área del Triangulo, Angulo de 60 Grados, Circunferencia Inscrita, Incentro,
Tangente. |
![Quadrilateral, 60, 75, 135 degrees](../problem/p405_quadrilateral_60_75_17.jpg) |
Problema de Geometría 405.
Cuadrilatero, 60, 75, y 135 grados, Punto Medio. |
![Triangle, 120 degrees, angle bisectors](../problem/p368_triangle_120_17.jpg) |
Problema de Geometría 368.
Triangle, 120 degrees, Angle bisectors, Perpendicular. |
![Circular sector 60 degrees](../problem/p365_circular_sector_60_17.jpg) |
Problema de Geometría 365.
Circular Sector of 60 degrees, Midpoints, Perpendicular, Congruence. |
![Triangle and angle bisector of 120 degrees](../problem/p304_triangle_120_degree_17.jpg) |
Problema de Geometría 304.
Triangle, Angle bisector of 120 degrees. |
![Triangle and angle bisector of 60 degrees](../problem/p302_triangle_60_degree_17.jpg) |
Problema de Geometría 302.
Triangle, Angle bisector of 60 degrees. |
![Triangle, Angles](../problem/p281_triangle_angle_17.jpg) |
Problema de Geometría 281.
Triangles, Angles, Isosceles, Equilateral.
60 degrees angle. |
![Square, Circle, 90 Arc](../problem/p276_square_circle_17.jpg) |
Problema de Geometría 276.
Square, 90 degree Arcs, 60 degrees angle, Circle, Radius. |
![Isoscele triangle 80-80-20](../problem/p274_triangle_80_20_17.jpg) |
Problema de Geometría 274.
Isosceles Triangle, 80-80-20, Angles.
60 degrees angle. |
![Regular hexagon inscribed in a circle](../problem/p262_regular_hexagon_17.jpg) |
Problema de Geometría 262.
Regular Hexagon inscribed in a circle, sum of distances, 60 degrees
angle. |
![Elearning 260: Problem about equilateral triangle](../problem/p260_equilateral_triangle_1.jpg) |
Problema de Geometría 260.
Equilateral Triangle, Incircle, Tangency Points, Vertices, Distances,
Squares, 60 degrees angle.
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![Elearning 259: Equilateral triangle, Incircle](../problem/p259_equilateral_triangle_1.jpg) |
Problema de Geometría 259.
Equilateral Triangle, Incircle, Tangency Points, Side, Distances,
Squares, 60 degrees angle.
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![Elearning 258: Equilateral triangle, Incircle](../problem/p258_equilateral_triangle_1.jpg) |
Problema de Geometría 258.
Equilateral Triangle, Circumcircle, Point, Vertices, Side, Distances,
Squares, 60 degrees angle.
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![Problem 257: Equilateral triangle, circumcircle](../problem/p257_equilateral_triangle_1.jpg) |
Problema de Geometría 257.
Equilateral Triangle, Circumcircle, Point, Vertices, Side, Distances,
Squares, 60 degrees angle.
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![Elearning 256: Equilateral triangle](../problem/p256_equilateral_triangle_1.jpg) |
Problema de Geometría 256.
Equilateral Triangle, Circumcircle, Point, Vertices, Distances, 60
degrees angle.
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![Elearning: Napoleon Theorem III](../problem/p248_napoleon_theorem_17.jpg) |
Problema de Geometría 248.
Napoleon's Theorem III. Inner and outer Napoleon triangles, Area, 60
degrees angle.
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![Napoleon Theorem II](../problem/p247_napoleon_theorem_17.jpg) |
Problema de Geometría 247.
Napoleon's Theorem II. Internal Equilateral triangles. Inner Napoleon
triangle, 60 degrees angle.
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![Napoleon Theorem I](../problem/p246_napoleon_theorem_17.jpg) |
Problema de Geometría 246.
Napoleon's Theorem I. External Equilateral triangles, 60 degrees angle. |
![Elearning 245: Parallelogram](../problem/p245_parallelogram_equilate.jpg) |
Problema de Geometría 245. Parallelogram with Equilateral triangles
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![Elearning 243](../problem/p243_equilateral_triangle_1.jpg) |
Problema de Geometría 243. Triangle with Equilateral triangles,
Parallelogram.
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![Elearn 242: Equilateral triangle and parallelogram](../problem/p242_equilateral_triangle_1.jpg) |
Problema de Geometría 242. Triangle with Equilateral triangles,
Parallelogram, 60 degrees angle.
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![Equilateral triangle, congruence SAS](../problem/p241_equilateral_triangle_1.jpg) |
Problema de Geometría 241. Triangle with Equilateral triangles,
Congruence.
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![Triangle with equilateral triangles](../problem/p240_equilateral_triangle_1.jpg) |
Problema de Geometría 240. Triangle with Equilateral triangles,
Parallelogram, 60 degrees angle.
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![Viviani theorem, Equilateral triangle, exterior point](http://gogeometry.com/
problem/p222_viviani_theorem_17.jpg) |
Problema de Geometría 222. Viviani's theorem, Equilateral triangle,
Exterior point, 60 degrees angle, Distances. |
![Viviani's theorem I](http://gogeometry.com/
problem/p221_viviani_theorem_17.jpg) |
Problema de Geometría 221. Viviani's theorem, Equilateral triangle,
Interior point, Distances, 60 degrees angle. |
![Elearn 212: 120 degree triangle, area](http://gogeometry.com/
problem/p212_triangle_120_area_17.jpg) |
Problema de Geometría 212. 120 Degree Triangle, Equilateral triangles,
Areas.
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![Elearn 211: 60 degree triangle, area](http://gogeometry.com/
problem/p211_triangle_60_area_17.jpg) |
Problema de Geometría 211. 60 Degree Triangle, Equilateral triangles,
Areas.
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![Elearn 210](http://gogeometry.com/
problem/p210_triangle_angles_17.jpg) |
Problema de Geometría 210. Triangle, Angles, Auxiliary Lines, 60 degrees
angle.
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![Problem: Triangle, Altitude, Angles](../problem/p199_triangle_angle_17.jpg) |
Problema de Geometría 199. Triangle, Quadrilateral, Angles.
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![Trapezoid and triangle problem](../problem/p185_trapezoid_angle_17.jpg) |
Problema de Geometría 185. Trapezoid,
Triangles and Angles,
60 degrees angle.
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![Elearning: Triangle, Angle](../problem/p184_triangle_angle_17.jpg) |
Problema de Geometría 184. Triangle
and Angles,
60 degrees angle.
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![Overlapping circles, Angle](../problem/p182_overlapping_circles_17.jpg) |
Problema de Geometría 182. Overlapping
Circles, Find an angle,
60 degrees angle.
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![Elearning 132](../problem/p132_triangle_orthocenter.jpg) |
Problema de Geometría 132. Triangle,
60 degrees, Orthocenter, Congruence, Midpoint. |
![Euclid's Elements Book XIII, Proposition 10](../geometry/euclid_elements_book_xiii_10_17.jpg) |
Euclid's
Elements, Book XIII, Proposition 10 One page visual illustration,
60 degrees angle. |
![Video: Geometry of Circles, 1979](../geometric_art/video_geometry_circles_170.jpg) |
Geometry of Circles "Sesame Street" by Philip Glass, 1979,
60 degrees angle.
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![](../problem/p050_angle_triangle_170.jpg) |
Problema de
Geometría 50. Triangle with Equilateral triangles,
60 degrees angle.
Seventeen conclusions.
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![](../problem/p044_angle_triangle_170.jpg) |
Problema de
Geometría 44.
Angles and triangles,
60 degrees angle.
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![](../problem/p043_angle_triangle_170.jpg) |
Problema de Geometría 43.
Angles and triangles. |
![](../problem/p042_angle_triangle_170.jpg) |
Problema de Geometría 42.
Angles and triangles,
60 degrees angle. |
![Morley's Theorem](../geometry/morley_theorem_170.jpg) |
Animated
illustration of the celebrated Morley's angle trisector theorem,
60 degrees angle, equilateral
triangle. |
![](../geometry/morley_triangle_center_17.jpg) |
Morley's Triangle & Center: Trisection of angles. |
![](../problem/p050_angle_triangle_170.jpg) |
Problema 50.
Triangulo escaleno con triángulos equiláteros, Perpendiculares,
Puntos medios y Congruencia. |
![Problema 40: Triangulo, Incentro, Excentro](../problem/p040_angle_170.jpg) |
Problema 40.
Triangulo 40-60-80 grados, Incentro, Excentro, Bisectriz,
Distancia. |
![](cuadrilatero_equilico_i_1.jpg) |
Cuadrilátero Equílico.
60 y 120 grados |
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