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Triángulos: clases y propiedades

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Triángulos: clases y propiedades

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Conceptos esenciales de triángulos

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maidyalejandra arizagama
maidyalejandra arizagama
Colombia

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Triángulos: clases y propiedades
 

Triángulos: clases y propiedadesOnline version

Conceptos esenciales de triángulos

by maidyalejandra arizagama
1

Introducción

Un triángulo es una figura de tres lados y tres vértices. Sus propiedades dependen de sus lados y ángulos.

2

Definición

Un triángulo se forma por tres segmentos que se encuentran en tres vértices. La suma de sus ángulos internos es siempre 180 grados.

3

Clasificación por lados

Por lados, existen tres tipos: equilátero (lados iguales), isósceles (dos iguales) y escaleno (ninguno igual).

4

Equilátero

En un equilátero todos los lados son iguales y todos los ángulos miden 60 grados cada uno.

5

Isósceles

En un isósceles hay dos lados iguales y dos ángulos opuestos iguales.

6

Escaleno

En un escaleno no hay lados iguales y los tres ángulos internos pueden ser desiguales.

7

Clasificación por ángulos

Por ángulos, los triángulos pueden ser agudos (todos agudos), rectos (un ángulo de 90°) o obtusos (un ángulo mayor de 90°).

8

Propiedades y teoremas

La suma de ángulos de cualquier triángulo es 180°. El Teorema de Pitágoras aplica solo a triángulos rectángulos.

9

Elementos del triángulo

Los elementos principales son lados, vértices y bordes. El lado opuesto a un vértice determina su longitud.

10

Aplicaciones y herramientas

Los triángulos se usan en arquitectura, ingeniería y dibujo. Se pueden construir trazando dos lados y el ángulo entre ellos.
 
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