Lei dos cossenos

Demonstração do teorema dos cossenos. (Lei dos cossenos)
Tente resolver o problema. Use os botões avançar, retroceder e restaurar para navegar e ver a solução passo a passo.[br][br]Dica.[br]Veja abaixo do problema a aplicação da lei dos cossenos.
Questão 1
Em um triângulo ABC, conhecemos as m(Â) = 30°, [math]b=2\sqrt{3}[/math] e c = 3. Calcule a medida de comprimento [i]a[/i] do terceiro lado do triângulo.
Questão 2
Considere o triângulo ABC tal que m(Â) = 45º, a = 4 e [math]b=4\sqrt{2}[/math]. Determine a medida de comprimento do perímetro desse triângulo.
Questão 3
No triângulo abaixo, AC = 3, BC = 4 e AB = 3 e m(Â) = α. Determine o valor do cos (α).[br][img]data:image/png;base64,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[/img]
Questão 4
Uberaba, Uberlândia e Araguari são cidades do Triângulo Mineiro e a localização delas pode ser representada pelo triângulo a seguir.[br][img]data:image/png;base64,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[/img][br]Considerando os dados indicados na figura, determine a medida de distância aproximada entre Uberaba[br]e Uberlândia.
Schließen

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