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Pitagoras: Preguntas y ejercicios

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Pitagoras: Preguntas y ejercicios

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Teorema de Pitágoras

Created by

asucena CARDONA
asucena CARDONA
Mexico

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Pitagoras: Preguntas y ejercicios
 

Pitagoras: Preguntas y ejerciciosOnline version

Teorema de Pitágoras

by asucena CARDONA
1

En un triángulo rectángulo, un cateto mide 3 cm y el otro 4 cm. ¿cuánto mide la hypotenusa?

2

Si un triángulo rectángulo tiene catetos 5 y 12, ¿cuál es la hipotenusa?

3

Un triángulo rectángulo tiene hipotenusa 13 y un cateto 5. ¿cuál es el otro cateto?

4

El área de un triángulo rectángulo es 24 cm², y un cateto es 4 cm. ¿cuál es la hipotenusa?

5

¿Qué tipo de triángulo es si sus lados miden 6, 8 y 10?

6

Si en un triángulo rectángulo hay cateto 9 y la hipotenusa 15, ¿cuál es el otro cateto?

7

El teorema de Pitágoras se aplica a triángulos:

8

¿Cuánto es la hipotenusa de un triángulo con catetos 7 y 24?

9

Si un cateto mide 8 y la hipotenusa 17, ¿cuál es el otro cateto?

10

Un triángulo rectángulo tiene lados 9, 40 y 41. ¿qué principio lo verifica?

Explicación

Es el triple del teorema: sqrt(3^2+4^2)=5.

Por Pitágoras: 5^2+12^2=25+144=169; sqrt=13.

15^2+8^2=13^2; aquí 13^2-5^2=169-25=144, sqrt=12.

Área no da hipotenusa directamente; usa (a·b)/2 y Pitágoras para la otra información.

Cumple 6^2+8^2=36+64=100=10^2.

15^2-9^2=225-81=144, sqrt=12.

Solo aplica a triángulos rectángulos.

7-24-25 es una múltiple del triple clásico.

17^2-8^2=289-64=225, sqrt=15.

9^2+40^2=81+1600=1681=41^2.

 
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