Question

Resolva a questão a seguir

Answer 1

Resposta:

AD = 9cm

BD = 6cm

Explicação passo a passo:

Sendo BD bissetriz, então:

$\frac{BA}{AD}=\frac{BC}{DC}\\\\\frac{BA}{BC} =1,5\\\\AD = x + 1\\\\DC=x-2\\\\\frac{BA}{BC} =\frac{AD}{DC} \\\\1,5=\frac{x+1}{x-2}\\\\1,5(x-2)=x+1 \\\\15(x-2)=10x+10\\\\15x-30=10x+10\\\\15x-10x=10+30\\\\5x=40\\\\x=\frac{40}{5} \\\\x=8\\\\AD=8+1=9\\\\DC=8-2=6$