Question

Teorema de Tales nos Triângulos

Nos triângulos abaixo, determine a medida x indicada.

Answer 1

Explicação passo-a-passo:

c )

$\sf \dfrac{3}{4} = \dfrac{x}{8}$

$\sf 4x = 24$

$\sf x = \textcolor{red}{6}$

d )

$\sf \dfrac{7}{5} = \dfrac{x + 4}{x}$

$\sf 7x = 5(x + 4)$

$\sf 7x = 5x + 20$

$\sf 7x - 5x = 20$

$\sf 2x = 20$

$\sf x = \textcolor{red}{10}$

e )

$\sf \dfrac{x}{x + 4} = \dfrac{5}{7}$

$\sf 7x = 5(x + 4)$

$\sf 7x = 5x + 20$

$\sf 7x - 5x = 20$

$\sf 2x = 20$

$\sf x = \textcolor{red}{10}$

f )

$\sf \dfrac{x}{6} = \dfrac{2}{4}$

$\sf 4x = 12$

$\sf x = \textcolor{red}{3}$

g )

$\sf \dfrac{x + 1}{2x - 1} = \dfrac{3}{4}$

$\sf 3(2x - 1) = 4(x + 1)$

$\sf 6x - 3 = 4x + 4$

$\sf 6x - 4x = 4 + 3$

$\sf 2x = 7$

$\sf x = \textcolor{red}{\dfrac{7}{2}}$

Espero ter ajudado !!!