Question

Na figura a seguir, AC = 40 cm. Sabendo que
AB 3
---- = --- ,
BC 5
DETERMINE as medidas dos segmentos AB e BC

Answer 1

Pelo entendido

Se
AC=40cm

AB=x
BC=40-x

$\frac{AB}{BC} = \frac{3}{5} \\ \\ \frac{x}{40-x} = \frac{3}{5} \\ \\ 5x=3(40-x) \\ \\ 5x=120-3x \\ \\ 5x+3x=120 \\ \\ 8x=120 \\ \\ x=120\div8 \\ \\ x=15 \\ \\ logo \\ \\ AB=15cm \\ BC=25cm$