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    es el tipo de polígono que tiene al menos una diagonal en su exterior

    Santiago

    Chicos, ¿alguien sabe la respuesta?

    obtenga es el tipo de polígono que tiene al menos una diagonal en su exterior de este sitio.

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    Es el tipo de polígono que tiene al menos una diagonal en su exterior Recibe ahora mismo las respuestas que necesitas!

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    fuente : brainly.lat

    ¿Qué polígonos no tienen diagonales?

    Respuesta (1 de 2): Obviamente solo uno, el triángulo. Partiendo de la definición de diagonal de un polígono: Una diagonal es todo segmento que une dos vértices no consecutivos de un polígono. En un triángulo todos los vértices son adyacentes, luego no puede existir diagonales.

    ¿Qué polígonos no tienen diagonales?

    Ordenar Jesús M. Landart

    Máster en Historia y Filosofía de la Ciencia; Matemático.El autor tiene 11 K respuestas y 23,5 M visitas a sus respuestas2 años

    Únicamente los triángulos. De hecho, el número de diagonales de un polígono cualquiera es:

    N n = n(n−3) 2 Nn=n(n−3)2 que vale cero para n=3 n=3

    La forma de demostrar esta formulita no puede ser más sencilla: dado un polígono de

    n n

    vértices, de cada vértice se pueden trazar

    (n−3) (n−3)

    diagonales (a todos los restantes excepto a él mismo y a sus dos consecutivos). Por lo tanto tendríamos

    n(n−3) n(n−3)

    diagonales, pero como cada una la estamos contando dos veces, hay que dividir por 2.

    Preguntas relacionadas

    ¿Cuántas diagonales hay en un dodecágono?

    ¿Cuántos polígonos hay?

    ¿Qué objetos de estudio tienen las matemáticas?

    ¿Cómo puedo determinar el número de diagonales de un polígono?

    ¿Qué opciones tienen para mejorar su lógica?

    Andres Carmonet

    Ha estudiado en Universidad de Extremadura (Graduado en el 1996)El autor tiene 78 respuestas y 93,6 K visitas a sus respuestas2 años

    Obviamente solo uno, el triángulo.

    Partiendo de la definición de diagonal de un polígono:

    Una diagonal es todo segmento que une dos vértices no consecutivos de un polígono. En un triángulo todos los vértices son adyacentes, luego no puede existir diagonales.

    Conrado Gregorio Chaviano Delgado

    Tropezando se aprende mejorEl autor tiene 292 respuestas y 82,3 K visitas a sus respuestas1 año

    Relacionada

    ¿Dos polígonos son congruentes si tienen sus lados respectivamente iguales y además poseen igual área?

    tomemos un octágono regular, a la izquierda se hace cóncavo modificando 4 lados consecutivos, a la derecha hacemos lo mismo pero con dos lados consecutivos y sus opuestos, las longitudes de los lados es la misma, el área es la misma pero no son congruentes, la respuesta es sí para polígonos de n lados donde n <7, en el caso de los triangulos, ni siquiera hace falta mencionar el área

    Fernando Quinteros

    Antes Computer Graphics Developer de Quanticc Games (2019–2021)El autor tiene 120 respuestas y 67 K visitas a sus respuestas2 años

    Relacionada

    ¿Cuántos vértices tiene un polígono de 100 lados?

    Si es un polígono simple, tantos vértices como lados se tenga. Después en la topología compleja, aparecen los polígonos complejos, ahí hay todo un análisis para determinar cuántos vértices puede tener un polígono, muchas veces tienen menos vértices que lados.

    Aquí te dejo un ejemplo de un polígono complejo de 9 lados y 7 vértices:

    Carlos Prado Soto

    Músico profesional y educador3 años

    Relacionada

    ¿Cuál es el ángulo exterior máximo posible para un polígono regular?

    Por definición, un polígono regular es aquel que tiene los lados iguales y los ángulos interiores iguales. Esto da como corolario, que los ángulos exteriores también sean iguales. Ahora bien, mientras aumenta el número de lados, también crece la medida de los ángulos interiores y decrece la medida de los exteriores, por lo tanto el ángulo exterior máximo debe corresponder con el menor número de lados posible en un polígono regular. Esto es el triángulo equilatero. Cada uno de sus ángulos interiores mide 60° , por lo tanto, cada uno de sus ángulos exteriores mide 300°.

    Elias

    Ingeniero de profesión y Científico en horas libresEl autor tiene 420 respuestas y 543,5 K visitas a sus respuestas21 may

    Relacionada

    ¿Cuál es la respuesta de un polígono regular con ángulo externo igual a 38 grados?

    Respondido inicialmente: ¿Cuál es la respuesta de un polígono regular con ángulo externo igual a 38grados?

    Puesto que la suma de los ángulos externos de un polígono regular siempre es igual a 360 grados, basta dividir 360 grados por el valor del ángulo externo del polígono regular para conocer el número de lados del polígono, por ejemplo:

    Angulo externo 120 grados, número de lados 3 (triángulo equilátero)

    Angulo externo 90 grados, número de lados 4 (cuadrado)

    Angulo externo de 72 grados, número de lados 5 (pentágono)

    En el caso de tu pregunta, dividir 360 grados entre 38 grados da como resultado 9,4736842105263157894736842105263 , que no es un número entero (obviamente, el número de lados debe ser un e

    Carlos Van Horenbeke Basañez

    El autor tiene 2,1 K respuestas y 796,4 K visitas a sus respuestas2 años

    Relacionada

    ¿Cómo se podrá trazar un polígono regular si se conoce la medida del arco que abarca un lado? (Es un problema de polígonos inscritos en una circunferencia)

    Si sólo conoces la medida (longitud) del arco que abarca un lado, no hay manera de saber cómo es el polígono, ni el nº de lados ni la longitud del lado.

    Si conoces el ángulo abarcado por el lado sobre la circunferencia circunscrita, entonces, para conocer el número de lados tienes que dividir 360º entre el arco abarcado y ya tienes el número de lados pero no sabes la longitud del lado.

    fuente : es.quora.com

    Polígono cóncavo

    Polígono cóncavo

    Ir a la navegación Ir a la búsqueda

    Un polígono cóncavo hexagonal. Observe que uno de sus vértices apunta hacia el interior de la figura.

    Un polígono simple se llama cóncavo si tiene un lado que al alargarlo lo parte .1​ Un polígono cóncavo tiene al menos un ángulo interior midiendo más de 180 grados (

    {\displaystyle \pi }

    radianes). En un polígono cóncavo al menos una de sus diagonales es exterior al polígono. Los polígonos estrellados son polígonos cóncavos. En todo polígono cóncavo hay al menos dos vértices que al ser unidos por un segmento, este corta uno o más lados. Los polígonos de tres lados () son los únicos polígonos que no pueden ser cóncavos, debido a que ninguno de sus tres ángulos puede superar los 180 grados o

    {\displaystyle \pi }

    radianes.

    Índice

    1 Elementos 2 Propiedades 3 Aplicación 4 Bibliografía 5 Referencias 6 Véase también 7 Enlaces externos

    Elementos[editar]

    Ángulo entrante: es el ángulo cuya medida es mayor que 180º

    Diagonal: Cualquier segmento que une dos vértices no consecutivos.

    Desde el vértice de un ángulo entrante es posible una descomposición en figuras convexas de menor número de lado, si es posible en triángulos.

    Punto interior: Es aquel punto que es interior a uno de polígonos convexos que resulta de una descomposición, mediante una diagonal o diagonales que parten del vértice de un ángulo entrante.........

    Propiedades[editar]

    Triangulación en abanico de un polígono con un único vértice cóncavo, mediante las diagonales del mismo.

    Por cada ángulo entrante hay al menos una diagonal que contiene puntos del exterior del polígono, excepto sus extremos.

    Un polígono cóncavo de

    {\displaystyle n}

    vértices, de los cuales solo uno es entrante, admite una al menos una Triangulación en abanico en

    {\displaystyle n-2}

    triángulos trazando diagonales desde el vértice entrante.

    Un polígono cóncavo de

    {\displaystyle n}

    lados puede tener a lo sumo una cantidad de ángulos entrantes a lo sumo igual a

    {\displaystyle n/2} .

    Cualquier polígono cóncavo tiene, por lo menos, dos lados, tal que la prolongación de cualquiera de ellos determina dos semiplanos y divide al polígono en dos partes, de modo que cada semiplano contiene solo una de las dos partes del polígono.

    Aplicación[editar]

    Ligando con la geometría computacional, es posible optimizar o situar un punto o más en la región poligonal, que permitan una mayor vigilancia del ambiente cuyo contorno es un polígono cóncavo.

    Bibliografía[editar]

    Shashkin Yu: .Editorial Mir, Moscú, 1989, traducción revisada y ampliada al español. Traductor del ruso: B. Mirchevski; impreso en La URSS.

    Geometría computacional, edición de IMCA, Lima.

    Geometría plana de Estrada y Sánchez.

    Referencias[editar]

    ↑ Definición por género y diferencia específica. Ver Bruño

    Véase también[editar]

    Polígono convexo Polígono Polígono estrellado Interior Exterior

    Enlaces externos[editar]

    Diccionario de Materias: Polígono cóncavo

    Control de autoridades

    Proyectos WikimediaDatos: Q12243537Multimedia: Concave polygons / Q12243537

    Datos: Q12243537Multimedia: Concave polygons / Q12243537

    Categorías: PolígonosGeometría convexa

    fuente : es.wikipedia.org

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    Santiago 8 day ago
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