Verified answer

Ola day

Teorema de Tales

(x - 1)/(x - 1 + 3) = (x + 4)/(x + 4 + x)

(x - 1)/(x + 2) = (x + 4)/(2x + 4)

(2x + 4)*(x - 1) = (x + 4)*(x + 2)

2x² + 2x - 4 = x² + 6x + 8

x² - 4x - 12 = 0

delta

d² = 16 + 48 = 64

d = 8

x = (4 + 8)/2 = 6

lados

AB = x + 2 = 8

AC = 2x + 4 = 16

BC = 14

P = 8 + 16 + 14 = 38 cm

pronto

Olá Day,

(x-1)/3=(x+4)/x

(x-1).x=3.(x+4)

x²-x=3x+12

x²-x-3x-12=0

x²-4x-12=0

(x-6).(x+2)=0

x-6=0 => x=6 cm

AD=x-1 --->AD=6-1 => AD=5 cm

AE=x+4---> AE=6+4 => AE=10 cm

EC=x --> EC=6 cm

AB=AD+DB => AB=5+3 => AB=8 cm

AC=AE+EC => AC=10+6 => AC=16 cm

BC=14 cm

2p=AB+AC+BC

2p=8+16+14

2p=24+14

2p=38 cm #