[tex]\large\text{$Projec_{\!\!,}\tilde{a}o ~ m = 7,5 ~cm $}\\\\\large\text{$Projec_{\!\!,}\tilde{a}o ~ n = 2,5 ~cm $}[/tex]
[tex]\large\text{$ Relac_{\!\!,}\tilde oes\,m\acute etricas\,no\,tri\hat angulo\,ret\hat angulo $}[/tex]
Encontrar o valor do outro cateto usando o Teorema de Pitágoras.
[tex]h^2 = b^2 + c^2[/tex]
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[tex]b^2 = h^2 - c^2\\\\b^2 = 10^2 - 5^2\\\\b^2 = 100 - 25\\\\b^2 = 75\\\\b =\sqrt{75}\\\\ b = 5\sqrt{3} ~cm[/tex]
encontrar o valor da projeção n
[tex]c^2 = an\\\\5^2 = 10n\\\\25 = 10n\\\\n = \dfrac{25}{10} \\\\\\n = 2,5 ~cm[/tex]
Encontrar o valor da projeção m:
[tex]b^2 = am\\\\(5\sqrt{3})^2 = 10m\\\\ 5^2~. ~2= 10m\\\\25 ~. ~3 = 10 m\\\\10m = 75\\\\m = \dfrac{75}{10} \\\\\\m = 7,5 ~cm[/tex]
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