Question

Questão 05: Calcule o valor de x e y usando semelhança de triângulo.

(Me ajudem nessa, por favor!)​

Answer 1

$\large\boxed{\begin{array}{l}\sf\triangle~ABC\sim\triangle~D~\!\!EF~pelo~caso~AA\\\sf\dfrac{x}{\diagdown\!\!\!\!\!\!18_2}=\dfrac{12}{\diagdown\!\!\!\!\!9_1}\\\sf\dfrac{x}{2}=12\\\sf x=2\cdot12\\\sf x=24\\\sf\dfrac{\diagdown\!\!\!\!\!18^3}{y}=\dfrac{\diagdown\!\!\!\!\!12^2}{9}\\\sf\dfrac{3}{y}=\dfrac{2}{9}\\\sf 2y=27\\\sf y=\dfrac{27}{2}\\\sf y=13,5\end{array}}$