Question

Calcule o valor de X na figura:

Como resolve?? Obrigado!!

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Semelhanc_{\!\!,}a\,de\,tri\hat angulos}\\\sf Dois\,tri\hat angulos\,s\tilde ao\,semelhantes\,quando\\\sf possuem\,ordenadamente\,os\,mesmos\,\hat angulos\\\sf e\,os\,lados\,correspondentes\,proporcionais\end{array}}$

$\large\boxed{\begin{array}{l}\sf \triangle ABC\sim \triangle ADE (caso\,AA)\\\sf\dfrac{15}{5}=\dfrac{24}{x}\\\\\sf 3=\dfrac{24}{x}\\\\\sf 3x=24\\\sf x=\dfrac{24}{3}\\\\\sf x=8\end{array}}$