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Pitágoras: Quiz del Teorema

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Pitágoras: Quiz del Teorema

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Cuestionario sobre el Teorema de Pitágoras

Created by

Belen Godoy
Belen Godoy
Argentina

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Pitágoras: Quiz del Teorema
 

Pitágoras: Quiz del TeoremaOnline version

Cuestionario sobre el Teorema de Pitágoras

by Belen Godoy
1

En un triángulo rectángulo, ¿qué lado se denomina hipotenusa?

2

Si un triángulo rectángulo tiene catetos de 3 y 4, ¿cuánto mide la hipotenusa?

3

¿Cuál es la fórmula del Teorema de Pitágoras?

4

En un triángulo rectángulo con catetos 5 y 12, ¿cuál es la hipotenusa?

5

Si la hipotenusa mide 13 y un cateto mide 5, ¿cuánto mide el otro cateto?

6

¿Qué tipo de triángulo está involucrado en el Teorema de Pitágoras?

7

Si la hipotenusa es 10 y un cateto es 6, ¿cuál es el otro cateto?

8

¿Qué representa c en la fórmula a^2 + b^2 = c^2?

9

Si a = 9 y b = 12, ¿cuánto es c según Pitágoras?

10

¿Qué ocurre con la relación a^2 + b^2 = c^2 cuando el triángulo no es rectángulo?

Explicación

La hipotenusa es el lado opuesto al ángulo recto y es el más largo.

Por Pitágoras: 3^2+4^2=9+16=25, raíz =5.

En un triángulo rectángulo, los cuadrados de los catetos suman al cuadrado de la hipotenusa.

5^2+12^2=25+144=169; raíz=13.

Con c^2 = a^2 + b^2: 13^2 - 5^2 = 169-25 =144, raíz 12.

Pitágoras se aplica a triángulos rectángulos.

10^2 = 6^2 + b^2 → 100 = 36 + b^2 → b^2 = 64 → b = 8.

c es la hipotenusa en un triángulo rectángulo.

9^2+12^2=81+144=225, raíz 15.

Solo se aplica para triángulos rectángulos; fuera de ese caso no es válido.

 
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