Question

Observe a figura e aplique o teorema de Tales e encontre o valor de x e y
a)x = 1,6 cm e y = 25 cm
b) x = 2,6 cm e y = 30 cm
c)x = 3,6 cm e y = 35 cm
d) x = 4,6 cm e y = 40 cm
e)x = 5,6 cm e y = 50 cm ​

Answer 1

A alternativa correta é: (A) x = 1,6cm e y = 25cm.

O teorema de Tales afirma que quando um feixe de reta transversais corta outro feixe de retas paralelas, os seguimentos formados são proporcionais.

Aplicando o teorema:

$\large\begin{array}{l}\sf \dfrac{x}{8}=\dfrac{2}{10}\\\\\\\sf x~.~10=2~.~8\\\\\sf 10x=16\\\\\sf x=\dfrac{16}{10}\\\\\red{\sf x=1,6cm}\\\\\\\sf \dfrac{5}{y}=\dfrac{1,6}{8}\\\\\sf 5~.~8=1,6~.~y\\\\\sf 40=1,6y\\\\\sf y=\dfrac{40}{1,6}\\\\\red{\sf y=25cm}\end{array}$

$\large\red{\boxed{\mathbb{ATT:SENHOR~~SOARES}}}$