Question

ajudem teorema de tales

Answer 1

Vamos começar achando Z:

$\frac{z}{24}=\frac{4}{8}\\\\Multiplicando\;cruzado:\\\\8z=4\;.\;24\\\\8z=96\\\\z=\frac{96}{8}\\\\z=12$

Achando y:

$\frac{8}{y}=\frac{4}{8}\\\\Multiplicando\;cruzado:\\\\4y=8\;.\;8\\\\4y=64\\\\y=\frac{64}{4}\\\\y=16$

Agora x:

$\frac{x}{z}=\frac{6}{4}\\\\Multiplicando\;cruzado:\\\\4x=6\;.\;z\\\\4x=6\;.\;12\\\\x=\frac{72}{4}\\\\x=18$

Answer 2

$\frac{8}{y} = \frac{4}{8} \\ 4y = 64 \\ y = \frac{64}{4} \\ y = 16$


$\frac{z}{24} = \frac{8}{16} \\ 16z = 192 \\ z = \frac{192}{16} \\ z = 12$



$\frac{18}{12} = \frac{x}{8} \\ 12x = 144 \\ x = \frac{144}{12} \\ x = 12$



y= 16
z= 12
x= 12