Oficina de Matemática - 9º ano - Recuperação do 2º Trimestre
Autor: Escola Terra Mater | Publicado: 2012-09-13T05:26:00-07:00

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Turma:
9º Ano
Nome:
__________________________________________

Data
entrega: 14/09/2012

OBS: Entregar as instruções
mais a tarefa executada.



DOBRANDO O TEOREMA DE PITÁGORAS

Pegue
uma folha de papel, e dobre-a como mostrado na figura abaixo.






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Depois de dobrada a
folha, tente localizar em meio as marcações na folha o seguinte triângulo (em
vermelho) e os quadrados em cada um dos seus lados (em amarelo):







Perceba que o
quadrado localizado no maior lado do triângulo, na hipotenusa, possui uma área
igual a soma das áreas dos dois quadrados situados nos outros lados do
triângulo , os catetos. Enquanto o quadrado dos catetos possuem cada um 2
pequenos triângulos amarelos, o quadrado&nbsp;
da hipotenusa possui 4.



Agora dobre outras 3 folhas de
papel, do mesmo modo. Depois de dobrado, forme um quadrado com as quatro
folhas. Agora tente identificar os seguintes elementos destacados na imagem
abaixo: 



&nbsp;





Perceba que novamente o quadrado
localizado no maior lado do triângulo, na hipotenusa, possui uma área igual a
soma das áreas dos dois quadrados situados nos outros lados do triângulo, os
catetos. Enquanto o quadrado dos catetos possuem cada um 16 pequenos triângulos
amarelos, o quadrado da hipotenusa possui 32.&nbsp;