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Teorema de Pitágoras: 3 enfoques

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Teorema de Pitágoras: 3 enfoques

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Tres enfoques claros

Created by

Zulema Guadalupe Arambula Gonzalez
Zulema Guadalupe Arambula Gonzalez
Mexico

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Teorema de Pitágoras: 3 enfoques
 

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Teorema de Pitágoras: 3 enfoquesOnline version

Tres enfoques claros

by Zulema Guadalupe Arambula Gonzalez
1

El Teorema de Pitágoras
Definición Formal ( Enunciado Clásico ) En todo ( aquel que tiene un ángulo recto de 90º ) , el de la es igual a la suma de los cuadrados de los . Fórmula general : a^2 + b^2 = c^2 . Significado de las variables : a y b : Los catetos ( los dos lados que forman el ángulo de 90º ) . c : La hipotenusa ( el lado más largo y opuesto al ángulo de 90º ) .

2

Definición geométrica
Si dibujas un sobre cada uno de los tres lados de un triángulo rectángulo , el área del cuadrado más grande ( el que está sobre la ) mide exactamente lo mismo que si juntas y sumas las áreas de los dos cuadrados más pequeños ( los de los ) . Ejemplo visual con números : Si los catetos miden cm y 4 cm , sus cuadrados tienen áreas de 9 cm^2 y 16 cm^2 . Al sumarlas ( 9 + 16 = 25 ) , obtienes el área del cuadrado mayor : 25 cm^2 . El lado mayor ( hipotenusa ) mide sqrt ( 25 ) = 5 cm .

3

3 . Definición Práctica
Es una regla matemática que permite encontrar la medida exacta de un lado desconocido en un triángulo rectángulo conociendo los otros dos . Para calcular la ( lado más largo ) : c = sqrt ( + ) ( Se elevan al los , se suman y se extrae la ) . Para calcular un cateto ( lado corto ) : a = sqrt ( c^2 - b^2 ) o b = sqrt ( c^2 - a^2 ) ( Al cuadrado de la hipotenusa se le resta el cuadrado del cateto conocido y se extrae la raíz cuadrada ) .

 
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