Elementos notables de un triángulo

En un triángulo hay una serie de rectas denominadas notables:[br][br][list][*]Mediatriz: recta perpendicular a un lado por el punto medio.[/*][*]Mediana: recta que une un vértice con el punto medio del lado opuesto.[/*][*]Altura: recta perpendicular a un lado por el vértice opuesto.[/*][*]Bisectriz: es la recta que divide por la mitad un ángulo interior del triángulo.[/*][/list][br]Además, hay una serie de puntos notables que vamos a exponer a continuación.Procedemos a construir las[br]diferentes rectas notables y sus puntos de intersección.[br][br][br][b]Mediatrices[/b][br]En  un triángulo  ABC la  mediatriz de un  lado  se  obtiene  con  la herramienta [b]Mediatriz[/b] [img width=24,height=24]data:image/png;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL/2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL/wAARCAAYABgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD26/ikRku7YEzRDlcf6xO6/XuKtwTpcQJNEwKOMg1R1TXdL0ZoBqV/BamdtsQlfaXI6gDv/wDXrH/02a7z+9sdFuW/3Zmc/wDotG/76ye2aVmtejLXvK3VGjovinR/EF1fW+l3i3EtjJ5dwFUgKeehI5GQRkelFWNM0PStHaY6bp8FoZ23SmJApcjoTjr3/Oiqdr+6QV9Z8LaP4hubG41SyW4lsX8yAsxG1uDyAcHkDg+las0KXEDwyqGRhgg+lFFS23ZAtGVbCSRGa0uDumjHDZ/1idj9ex96KKKRc1qf/9k=[/img]. Bastará con pulsar sobre un lado para obtener la mediatriz correspondiente.[br][br][br][img width=284,height=144]data:image/png;base64,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[/img][br][br] De manera similar se obtendrán las otras dos mediatrices.[br][br] [img width=345,height=207]data:image/png;base64,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[/img][br][br]
Mediatrices
Las tres mediatrices se cortan en un punto denominado circuncentro, que se podrá obtener como intersección de dos cualquiera de las mediatrices (recordemos que la herramienta [b]Intersección[/b] [img width=24,height=24]data:image/png;base64,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[/img] devuelve los puntos de intersección de dos objetos).[br]El circuncentro es el centro de la circunferencia circunscrita al triángulo.
Mediatrices
[br][b]Medianas[/b][br][br]Para obtener la mediana de un lado del triángulo, basta con obtener el punto medio del lado, utilizando a[br]continuación la herramienta [b]Recta[/b] [url=https://wiki.geogebra.org/es/Herramienta_de_Recta][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAwAYABIAhAAAAAAAAAAAGQAAFQAAOgAAIQAAJgAAOAAAIgAAOQAASAAAQwAAfAAAhwAAkwAAiwAAhgAAkAAA/wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwU5ICCOZGmeaCoGasu26QubDVPMpyJJ+Gk4j0NvJBMMV8eSLAlY4g6QiIEJWOwUVASjQXUevTgwlRoCADs=[/img][/url] para trazar la recta que pasa por este punto medio y el vértice opuesto al lado.[br][img width=288,height=140]data:image/png;base64,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[/img][br]De manera análoga se obtendrán las otras dos medianas, determinando previamente el punto medio de cada lado.[br]Las tres medianas se cortan en un punto denominado baricentro (también llamado centro de gravedad del triángulo).
Medianas
[br][b]Alturas[/b][br][br]Las alturas son las rectas perpendiculares a cada lado por el vértice opuesto, por lo que basta utilizar[br]la herramienta [b]Perpendicular[/b] [img width=24,height=24]data:image/png;base64,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[/img] para trazarlas.[br][br][img 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vez seleccionada la herramienta basta marcar el lado y el vértice opuesto para obtener la altura.[br]De manera similar se obtendrán las otras dos alturas.[br]Las tres alturas se cortan en un punto denominado ortocentro.
Alturas
[br][b]Bisectrices[/b][br][br]GeoGebra ofrece una herramienta para obtener la bisectriz de un ángulo que podemos utilizar para trazar las bisectrices de un triángulo.[br]Una  vez  seleccionada  la herramienta [b]Bisectriz[/b] [url=https://wiki.geogebra.org/es/Herramienta_de_Bisectriz][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAwAYABEAhQAAAAAAAAAAGwAAOwAAMgAAIgAALAAAIQAAOAQAOQAALwAALgAAMwAAPAAANwAATQAATgEAQwAASQAASgAAUAAARQAAYAYAiQAApgAAtgAAqAAAwQAA0AAAwwAA/gAA/wAA+joAJrUAAKAAAP8AAO4AAAECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwZUQIBwSBwOisgk8eHBKJ9EyydjgEIPEIT1GdhCu14lOEkClMvJMfG8HbPRVgQmIjKHiZfP5j4kkUoJGhJqfEhdYwqFQwELHB0MikITHyCRQxQVllBBADs=[/img][/url] hay que pulsar sobre los tres puntos que determinan el ángulo, de manera que el punto marcado en segundo lugar será el vértice del ángulo sobre[br]el que se trazará la bisectriz.[br]Por ejemplo, si en el triángulo ABC, marcamos los puntos B, A y C, en este orden, obtendremos la bisectriz por el vértice A.[br][br][img 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manera análoga se obtendrán las otras dos bisectrices.[br]El punto de corte de las bisectrices se denomina incentro que es el centro de la circunferencia inscrita[br]al triángulo.
Bisectrices
Para obtener la circunferencia inscrita al triángulo, una vez que tenemos el incentro, bastará con determinar el punto de tangencia con alguno de los lados.[br][br]Para ello, hay que aplicar que la recta tangente en un punto de la circunferencia es perpendicular al radio en dicho punto.
Circunferencia inscrita

Information: Elementos notables de un triángulo