Question

Calcule as medidas de X e Y indicadas na figura seguinte

Answer 1

$\large\boxed{\begin{array}{l}\sf\triangle CED\sim\triangle ABC~pelo~caso~AA.\\\sf\dfrac{x}{\sqrt{7}}=\dfrac{1}{\sqrt{3}}\\\sf x=\dfrac{\sqrt{7}}{\sqrt{3}}\\\\\sf x=\dfrac{\sqrt{7}}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}\\\\\sf x=\dfrac{\sqrt{21}}{3}\\\\\sf \dfrac{y}{2}=\dfrac{1}{\sqrt{3}}\\\\\sf y=\dfrac{2}{\sqrt{3}}\\\\\sf y=\dfrac{2}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}\\\\\sf y=\dfrac{2\sqrt{3}}{3}\end{array}}$