Como você descobriu se essas medidas são realmente de um triângulo retângulo?
O Teorema de Pitágoras tem uma via de mão dupla: se o ângulo é reto, a fórmula vale; e [b][color=#0b5394]se a fórmula vale, o ângulo é reto![/color][/b] Isso significa que podemos usar a matemática para garantir a existência de um ângulo de 90° mesmo sem usar um esquadro ou transferidor.[br][br]Observe o triãngulo abaixo: [br][img]data:image/png;base64,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[/img][br][br]Se aplicarmos o teorema teriamos: [br][br][math]6^2=36[/math][math]\ne[/math] [math]41=25+36=5^2+4^2[/math][br][br]Como o teorema não é válido, sabemos que esse triângulo não possui um ângulo reto. [br][br]Agora, se o teorema vale então quer dizer que existe um ãngulo reto entre os menores lados. [br]