JSFHO Teorema de Pit\303\241goras
Uma explora\303\247\303\243o deste famoso e fundamental teorema, e suas aplica\303\247\303\265es.<Text-field style="Heading 1" layout="Heading 1"><Font encoding="UTF-8">Inicializa\303\247\303\243o</Font></Text-field>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 1. O Teorema
Todos n\303\263s sabemos como \303\251 um tri\303\242ngulo ret\303\242ngulo, certo?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Ou isso :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 teorema \303\251 esse : (trumpetes por favor....)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 ele algumas vezes apare\303\247a disfar\303\247ado :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 2. A Prova
Existe mais de 100 provas que tem sido deixadas nos \303\272ltimos dois mil\303\252nios para esse teorema fundamental. N\303\263s iremos criar um diagrama que pode auxiliar a provar a validade do teorema. 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Como isso prova o teorma? N\303\263s iremos calcular a \303\241rea para esse diagrama de duas maneiras diferentes.
1. \303\201rea de Partes
Cada um dos quatro tri\303\242ngulos (verde, vermelho, azul, roxo) tem dimens\303\264es a, b, e c.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 2. \303\201rea Total
N\303\263s tamb\303\251m podemos comparar a \303\241rea de uma maneira diferente. O diagrama total \303\251 atualmete um quadrado. A extens\303\243o do lado de um grande quadrado \303\251 a + b, j\303\241 que cada lado do quadrado consiste de um lado menor do tri\303\242ngulo e um grande cateto do tri\303\242ngulo.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Equacionando os Dois Tipos de \303\201rea
Agora n\303\263s equacionamos os dois diferentes c\303\241lculos para a \303\241rea, e solucionamos.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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2JVEnZXhwYW5kRicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkobWZlbmNlZEdGJDYkLUYjNiUtRiw2JVEiJUYnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0YzUSdub3JtYWxGJ0ZARj1GQA==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!...oops....eu quero dizer, "QED" (quo est demonstratum...thus it is demonstrated).
3. Encontrando os Lados dos Tri\303\242ngulos Ret\303\242ngulos
dados dois lados quaisquer de um tri\303\242ngulo ret\303\242ngulo \303\251 poss\303\255vel encontrar o terceiro lado usando esta f\303\263rmula. A \303\272nica chave para usar a f\303\263rmula \303\251 substitu\303\255-la apropriadamente.Apenas lembre-se que c, a hipotenusa, \303\251 o lado maior do tri\303\242ngulo, e seu quadrado \303\251 igual a soma dos quadrados dos outros dois.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 Exemplo 3.1: Um tri\303\242ngulo ret\303\242ngulo tem catetos de lados 7 e 24, encontre a hipotenusa
Nesse caso, nos deram os dois catetos - os dois lados menores, a e b.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 se adapta a um inteiro, mas habitualmente, existe uma ra\303\255z quadrada envolvida de uma maneira ou outra.
Exemplo 3.2: Um tri\303\242ngulo ret\303\242ngulo tem catetos de lado 2 e 3, encontre a hipotenusa
Nesse caso, nos deram os dois catetos - os dois lados menores, a e b.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Aqui est\303\241 a outra varia\303\247\303\243o - dada a hipotenusa e um cateto.
Exemplo 3.3: Um tri\303\242ngulo reto tem um catetode 10 polegadas e hipotenusa de 15 polegadas, encontre o outro lado
Nesse caso, nos deram os dois lados - a e b.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 4. Os Conhecidos Tri\303\242ngulos Ret\303\242ngulos
Existem duas fam\303\255lias muito comuns de tri\303\242ngulos ret\303\242ngulos, as quais s\303\243o bem conceituadas.
45-45-90 Tri\303\242ngulo
Quando dois catetos s\303\243o iguais, os dois \303\242ngulos da base s\303\243o iguais tamb\303\251m - 45 graus cada.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 hipotenusa \303\251 sempre LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkmbXNxcnRHRiQ2Iy1GIzYnLUkjbW5HRiQ2JFEiNUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSxbMTI4LDAsMTI4XUYnLyUscGxhY2Vob2xkZXJHRjkvRjVRJ2l0YWxpY0YnLUkjbWlHRiQ2I1EhRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJ0Y0 vezes o lado de cada um dos dois catetos em um tri\303\242ngulo 45-45-90.
O outro \303\242ngulo comum \303\251 esse.
30-60-90 Tri\303\242ngulo
Esse tipo de tri\303\242ngulo pode ser considerado como parte de um tri\303\242ngulo equil\303\241tero, e ent\303\243o a base menor \303\251 a metade da hipotenusa. Saber isso nos permite expressar o terceiro lado (o cateto maior) em termos dos outros 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fornece a rela\303\247\303\243o entre os lados : 1 : LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkmbXNxcnRHRiQ2Iy1GIzYnLUkjbW5HRiQ2JFEiM0YnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJ2l0YWxpY0dRJXRydWVGJy8lK2ZvcmVncm91bmRHUSxbMTI4LDAsMTI4XUYnLyUscGxhY2Vob2xkZXJHRjkvRjVRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRidGNA== : 2LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzY/LUkjbWlHRiQ2JVEiYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIn5GJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTC1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIL0ZLUSwwLjI3Nzc3NzhlbUYnL0ZORlNGNS1GLDYlUSJ4RidGL0YyLUY2Ni1RIjtGJ0Y5RjsvRj9GMUZARkJGREZGRkhGSkZULUknbXNwYWNlR0YkNiYvJSdoZWlnaHRHUSYwLjBleEYnLyUmd2lkdGhHRkwvJSZkZXB0aEdGW28vJSpsaW5lYnJlYWtHUShuZXdsaW5lRictRmduNiZGaW5GXG9GXm8vRmFvUSVhdXRvRictRiw2JVEiYkYnRi9GMkY1Rk9GNUZVLUY2Ni1RIipGJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMTY2NjY2N2VtRicvRk5GXnAtRiw2JVElc3FydEYnL0YwRj1GOS1JKG1mZW5jZWRHRiQ2JC1GIzYlLUkjbW5HRiQ2JFEiM0YnRjkvJStleGVjdXRhYmxlR0Y9RjlGOUZYRmZuRmNvLUYsNiVRImNGJ0YvRjJGNUZPRjUtRmpwNiRRIjJGJ0Y5RmpvRlVGWEZdcUY5LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYrLUkjbWlHRiQ2JVEnVHJpMzY5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLUkjbW9HRiQ2LVEifkYnL0YzUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGPS8lKXN0cmV0Y2h5R0Y9LyUqc3ltbWV0cmljR0Y9LyUobGFyZ2VvcEdGPS8lLm1vdmFibGVsaW1pdHNHRj0vJSdhY2NlbnRHRj0vJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZMLUY2Ni1RKiZjb2xvbmVxO0YnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4yNzc3Nzc4ZW1GJy9GTkZTRjVGNS1JKG1mZW5jZWRHRiQ2Ji1GIzY9LUYsNiVRImFGJ0YvRjJGNS1GNjYtUSI9RidGOUY7Rj5GQEZCRkRGRkZIRlJGVEY1LUYsNiVRInhGJ0YvRjItRjY2LVEiLEYnRjlGOy9GP0YxRkBGQkZERkZGSEZKL0ZOUSwwLjMzMzMzMzNlbUYnRjUtRiw2JVEiYkYnRi9GMkY1RmduRjVGam4tRjY2LVEiKkYnRjlGO0Y+RkBGQkZERkZGSC9GS1EsMC4xNjY2NjY3ZW1GJy9GTkZqby1GLDYlUSVzcXJ0RicvRjBGPUY5LUZWNiQtRiM2JS1JI21uR0YkNiRRIjNGJ0Y5LyUrZXhlY3V0YWJsZUdGPUY5RjlGXW9GNS1GLDYlUSJjRidGL0YyRjVGZ25GNS1GZXA2JFEiMkYnRjlGZm9Gam5GNUZocEY5RjkvJSVvcGVuR1EifGZyRicvJSZjbG9zZUdRInxockYnLUY2Ni1RIjtGJ0Y5RjtGYG9GQEZCRkRGRkZIRkpGVEZocEY5Frequentemente n\303\263s vemos esse tipo de tri\303\242ngulo expressado nessa forma, onde a hipotenusa \303\251 1. 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