Question

me ajudem com teorema de tales

Answer 1

Aplicando Tales:

$\frac{x+9+y+5}{9} = \frac{D+2x+3x-2}{2x} \\ \\ 2x(x+9+y+5)=9(D+2x+3x-2) \\ \\ \frac{x+9+y+5}{x} = \frac{D+2x+3x-2}{D} \\ \\ D(x+9+y+5)=x(D+2x+3x-2) \\ 2x(x+9+y+5)=9(D+2x+3x-2) \\ \\ x=9 \\ D=2x==\ \textgreater \ D=18 \\ \\ \frac{y+23}{9} = \frac{61}{18} \\ \\ 549=18y+414 \\ \\ 18y=135==\ \textgreater \ y=7,5$

Solução: x=  9
               D= 18
               y=  7,5