Question

Aplique o teorema de tales no intuito de determinar o valor de x sabendo q as retas a b e c, sao paralelas​

Answer 1

Na reta de baixo, note que o segmento entre as retas 'b' e 'c' medirá "12-x".

Aplicando o Teorema de Tales:

$\frac{12-x}{x}=\frac{3}{5}$

$5(12-x)=3x$

$60-5x=3x$

$-5x-3x=-60$

$-8x=-60$

$8x=60$

$x=\frac{60}{8}$

$x=\frac{15}{2}$

Answer 2

$\mathsf{ \dfrac{x}{12}=\dfrac{5}{5+3}}$

$\mathsf{8x=60}$

$\boxed{\boxed{ \mathsf{x=7{,}5}} }$