[br][br]     O [b]teorema de Pitágoras[/b] é uma relação matemática entre os comprimentos dos lados de qualquer triângulo retângulo. Na geometria euclidiana, o teorema afirma que: [br][br] "Em qualquer triângulo retângulo, o quadrado do comprimento da hipotenusa é igual à soma dos quadrados dos comprimentos dos catetos."[br][br] Por definição, a hipotenusa é o lado oposto ao ângulo reto, e os catetos são os dois lados que o formam. O enunciado anterior relaciona os comprimentos, mas o teorema também pode ser enunciado como uma relação entre áreas.[br][br] [br] Para ambos os enunciados, pode-se equacionar: [br] [br] [img width=191,height=216]data:image/jpeg;base64,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[/img][br]onde [i][b]a[/b][/i] representa o comprimento da hipotenusa e, [i][b]b[/b][/i] e [i][b]c[/b] [/i]representam os comprimentos dos outros dois lados, os catetos.[br][br] [br]