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Pitágoras: Quiz rápido

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Pitágoras: Quiz rápido

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Teorema de Pitágoras en acción

Created by

Herman Paz
Herman Paz
Ecuador

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Pitágoras: Quiz rápido
 

Pitágoras: Quiz rápidoOnline version

Teorema de Pitágoras en acción

by Herman Paz
1

El teorema de Pitágoras aplica solo a triángulos rectángulos.

2

En un triángulo rectángulo, a^2 + b^2 = c^2, donde c es la hipotenusa.

3

El teorema puede usarse para calcular un cateto si se conoce la hipotenusa y el otro cateto.

4

Si catetos son 3 y 4, la hipotenusa es ____

5

En un triángulo con hipotenusa 10 y un cateto 6, el otro cateto es ____

6

Calcula la hipotenusa de un triángulo con catetos 5 y 12.

7

Si la hipotenusa es 13 y un cateto es 5, el otro cateto es ____

8

En un triángulo rectángulo con cateto a=8 y cateto b=15, la hipotenusa c es ____

9

El teorema dice que la suma de los cuadrados de los catetos es igual a la suma de los cuadrados de la hipotenusa.

10

En un triángulo rectángulo con cateto a=8 y cateto b=15, ¿c = ?

Explicación

Es aplicable únicamente en triángulos rectángulos.

Con c como la hipotenusa, la relación es válida.

b = sqrt(c^2 − a^2) si c y a son conocidos.

3^2 + 4^2 = 9 + 16 = 25; sqrt(25) = 5.

b = sqrt(10^2 − 6^2) = sqrt(64) = 8.

c = sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169) = 13.

b = sqrt(13^2 − 5^2) = sqrt(169 − 25) = sqrt(144) = 12.

c = sqrt(8^2 + 15^2) = sqrt(64 + 225) = sqrt(289) = 17.

La suma de los cuadrados de los catetos es igual al cuadrado de la hipotenusa, no a la hipotenusa misma.

c = sqrt(8^2 + 15^2) = 17.

 
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