A raiz de um problema pitagórico

[b]Problema:[/b][br]Achar a medida da hipotenusa "AB" de um triângulo retângulo isósceles tomando um cateto como unidade de medida. [br]Admite-se que este triângulo tenha lado igual a 1 unidade.[br][img]data:image/png;base64,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[/img][br]Pelo teorema de pitágoras, tem-se que a hipotenusa deste triângulo é dada por:[br][br]AB² = OA² + OB² [br][br]Se OA = OB =1 então, podemos reescrever a equação,[br][br]AB² = 2.OA² [math]\longrightarrow[/math] AB² = 2 [math]\longrightarrow[/math] AB = [math]\sqrt{2}[/math][br][br]Como vimos, existe um segmento AB que, segundo o teorema de Pitágoras, deve corresponder a um número cujo quadrado é 2, o famoso raiz de 2. [br][br]Será que poderiamos obter uma expressão decimal através da reta numérica para este número? [br][br]Tente buscar uma expressão fracionária para a raiz de 2 com o auxílio da construção abaixo.[br][br]Perceba na construção a representação da raiz de 2 na reta numérica. Escolhendo valores para n, é possível subdividir um pedaço da reta numérica em múltiplos de uma fração da unidade.
Por exemplo, fazendo n = 2 vemos que a raiz de 2 está entre 1 e 2. Para n = 3 a raiz está entre 4/3 e 5/3. Para n = 10 vemos que raiz de 2 é um pouco maior do que 14/10 e menor que 15/10. Para n = 12, vemos que raiz de 2 está bem próximo de 17/12, só um pouco menor.
Veja o que acontece quando n = 17? Será que podemos deduzir que raiz de 2 é 24/17?
Se raiz de 2 não coincidir com 24/17 tente outros valores para n. Veja, por exemplo n = 58. Faça o seguinte, escolha valores grandes para n, bem grandes. Veja o que acontece com o segmento representado por 2. O segmento fica preenchido por pontos, não? Então, a raiz de 2 vai coincidir com um destes pontos, não? Para tirar a dúvida, use o recurso de ampliação. Ah, lembre-se que você sempre pode escolher valores cada vez maiores para n.
Você concorda que é difícil perceber se a raiz de 2 pode ser representada por um número racional ou não? O que sua intuição diz, parece que podemos encontrar um valor para n, suficientemente grande, que finalmente fornecerá uma representação fracionária para a raiz de 2? Ou estamos diante de um novo tipo de número?
Cerrar

Información: A raiz de um problema pitagórico