Question

Observe as imagens abaixo. Nelas, deve-se encontrar o valor de x utilizando o Teorema de Tales:
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Answer 1

Explicação passo-a-passo:

a)

Pelo Teorema de Tales:

$\sf \dfrac{2}{4}=\dfrac{3}{x}$

$\sf 2x=4\cdot3$

$\sf 2x=12$

$\sf x=\dfrac{12}{2}$

$\sf \red{x=6}$

b)

Pelo Teorema de Tales:

$\sf \dfrac{4}{12}=\dfrac{x}{21}$

$\sf 12x=4\cdot21$

$\sf 12x=84$

$\sf x=\dfrac{84}{12}$

$\sf \red{x=7}$

c)

Pelo Teorema de Tales:

$\sf \dfrac{x}{14}=\dfrac{9}{12}$

$\sf 12x=14\cdot9$

$\sf 12x=126$

$\sf x=\dfrac{126}{12}$

$\sf \red{x=10,5}$

d)

Pelo Teorema de Tales:

$\sf \dfrac{x}{9}=\dfrac{8}{12}$

$\sf 12x=9\cdot8$

$\sf 12x=72$

$\sf x=\dfrac{72}{12}$

$\sf \red{x=6}$

e)

Pelo Teorema de Tales:

$\sf \dfrac{9}{x}=\dfrac{18}{4}$

$\sf 18x=9\cdot4$

$\sf 18x=36$

$\sf x=\dfrac{36}{18}$

$\sf \red{x=2}$

f)

Pelo Teorema de Tales:

$\sf \dfrac{10}{15}=\dfrac{3x+1}{5x-2}$

$\sf 10\cdot(5x-2)=15\cdot(3x+1)$

$\sf 50x-20=45x+15$

$\sf 50x-45x=15+20$

$\sf 5x=35$

$\sf x=\dfrac{35}{5}$

$\sf \red{x=7}$