Question

Alguém pode me ajudar com esse teorema de Tales?

Answer 1

Utilizando o teorema de Tales, podemos montar as seguintes relações:

$\boxed{\frac{x}{3}~=~\frac{12}{15}}~~~~~~e~~~~~~~\boxed{\frac{6}{y}~=~\frac{12}{15}}\\\\\\\\Desenvolvendo~a~1^a\\\\\\15~.~x~=~3~.~12\\\\\\15x~=~36\\\\\\x~=~\frac{36}{15}\\\\\\\boxed{x~=~\frac{12}{5}~~ou~~ 2,4}\\\\\\\\Desenvolvendo~a~2^a\\\\\\12~.~y~=~6~.~15\\\\\\12y~=~90\\\\\\y~=~\frac{90}{12}\\\\\\\boxed{y~=~\frac{15}{2}~~ou~~7,5}$