Vol. 09 - Geometria Plana FME 2013 ⇒ 007 - FME 09 -Teste de Vestibulares 2013 Tópico resolvido

[petrasMOD]

(UF-PE) Na ilustração a seguir, as retas a, b e c são paralelas.

Assinale o valor de x + y.

a) 20,1
b) 24.5
c) 25,0
d) 26.1
e) 35,2

Resposta

---

Gabarito: d)

[petrasMOD]

[tex3]\mathsf{\frac{5}{7}=\frac{7,5}{y}\implies y = \frac{7.15}{10} = \frac{21}{2}\
\\triangle ABC \sim \triangle AEF: \frac{4}{a} =\frac{5}{12} \implies a = \frac{48}{5}\\
\therefore x = 6+a = 6 + \frac{48}{5} = \frac{78}{5} \\x+ y = \frac{78}{5} + \frac{21}{2} = \frac{261}{10} =\boxed{26,1}}[/tex3]
d)