Lei dos Cossenos

Em todo triângulo, o quadrado da medida de um lado é igual a soma dos quadrados das medidas dos outros dois lados, menos duas vezes o produto desses lados pelo cosseno do ângulo que eles formam.
Questão 1
Considere a figura seguinte, o que foi dito anteriormente e escreva uma equação para a Lei dos Cossenos.[br][br][img]data:image/png;base64,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[/img]
Ilustração da lei dos Cossenos
1- Arraste os pontos A, B ou C e compare os resultados das duas colunas da tabela. O que acontece com eles?
2- Arraste os pontos A, B ou C de forma que um dos ângulos fique igual a 90º. Veja a equação que contém esse ângulo. Ela parece com algum teorema que você conhece? Qual?
Demonstração
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Information: Lei dos Cossenos