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Pitágoras: Teorema en Acción

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Pitágoras: Teorema en Acción

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Cuestionario corto sobre el teorema de Pitágoras.

Created by

JEFFERSON PALACIOS
JEFFERSON PALACIOS
Nicaragua

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Pitágoras: Teorema en Acción
 

Pitágoras: Teorema en AcciónOnline version

Cuestionario corto sobre el teorema de Pitágoras.

by JEFFERSON PALACIOS
1

¿Qué dice el teorema de Pitágoras en un triángulo rectángulo?

2

En un triángulo rectángulo, si los catetos miden 3 y 4, ¿c es 5?

3

Si a = 5 y b = 12, ¿cuál es c?

4

¿Qué tipo de triángulo aplica Pitágoras?

5

Si c es la hipotenusa y a, b los catetos, ¿cuál es la relación correcta?

6

En un triángulo rectángulo, si c = 10 y a = 6, ¿b?

7

¿Qué medida no puede ser hipotenusa en un triángulo rectángulo?

8

Si a = 9, b = 12, ¿c?

9

¿Qué ocurre si a² + b² no es igual a c²?

10

¿Qué representa c en el teorema de Pitágoras?

Explicación

La suma de los cuadrados de los catetos es igual al cuadrado de la hipotenusa.

3² + 4² = 9 + 16 = 25, y √25 = 5.

5² + 12² = 25 + 144 = 169, √169 = 13.

Pitágoras se aplica solo en triángulos con ángulo recto.

La hipotenusa al cuadrado es la suma de los cuadrados de los catetos.

10² = 6² + b² → 100 = 36 + b² → b² = 64 → b = 8.

La hipotenusa debe ser el lado más largo, igual a √(a²+b²).

9² + 12² = 81 + 144 = 225, √225 = 15.

Solo en triángulos rectángulos se aplica exactamente c² = a² + b².

C es la longitud del lado opuesto al ángulo recto.

 
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