Question

Determine o valor de x e y:​

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm Observe~a~figura~que~eu~anexei.}\\\sf \triangle ABC\sim\triangle BDC~(pelo~caso~AA)\\\sf\dfrac{x}{4}=\dfrac{9}{x}\\\\\sf x^2=4\cdot9\\\sf x=\sqrt{4\cdot9}\\\\\sf x=2\cdot3\\\sf x=6\\\\\sf\dfrac{5}{y}=\dfrac{x}{4}\\\\\sf\dfrac{5}{y}=\dfrac{6}{4}\\\\\sf 6y=20\\\\\sf y=\dfrac{20\div2}{6\div2}\\\\\sf y=\dfrac{10}{3}\end{array}}$